14922348480 has 1008 divisors, whose sum is σ = 61258070016. Its totient is φ = 3321077760.

The previous prime is 14922348461. The next prime is 14922348487. The reversal of 14922348480 is 8484322941.

14922348480 is a `hidden beast` number, since 1 + 4 + 92 + 2 + 3 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14922348487) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 347031339 + ... + 347031381.

Almost surely, 2^14922348480 is an apocalyptic number.

14922348480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14922348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30629035008).

14922348480 is an abundant number, since it is smaller than the sum of its proper divisors (46335721536).

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

14922348480 is a wasteful number, since it uses less digits than its factorization.

14922348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14922348480 in words is "fourteen billion, nine hundred twenty-two million, three hundred forty-eight thousand, four hundred eighty".