14922749664 has 192 divisors, whose sum is σ = 45539988480. Its totient is φ = 4749143040.

The previous prime is 14922749657. The next prime is 14922749671. The reversal of 14922749664 is 46694722941.

14922749664 is a `hidden beast` number, since 1 + 4 + 92 + 2 + 7 + 496 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (14922749657) and next prime (14922749671).

It is a super-2 number, since 2×14922749664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14922749664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660447 + ... + 1669409.

It is an arithmetic number, because the mean of its divisors is an integer number (237187440).

Almost surely, 2^14922749664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14922749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22769994240).

14922749664 is an abundant number, since it is smaller than the sum of its proper divisors (30617238816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14922749664 is a wasteful number, since it uses less digits than its factorization.

14922749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9056 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

It can be divided in two parts, 149227 and 49664, that added together give a palindrome (198891).

The spelling of 14922749664 in words is "fourteen billion, nine hundred twenty-two million, seven hundred forty-nine thousand, six hundred sixty-four".