14967466752 has 432 divisors, whose sum is σ = 50277167360. Its totient is φ = 3861209088.

The previous prime is 14967466751. The next prime is 14967466819. The reversal of 14967466752 is 25766476941.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 14967466692 and 14967466701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14967466751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54034038 + ... + 54034314.

Almost surely, 2^14967466752 is an apocalyptic number.

14967466752 is a gapful number since it is divisible by the number (12) 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 14967466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138583680).

14967466752 is an abundant number, since it is smaller than the sum of its proper divisors (35309700608).

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

14967466752 is a wasteful number, since it uses less digits than its factorization.

14967466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 331 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 14967466752 in words is "fourteen billion, nine hundred sixty-seven million, four hundred sixty-six thousand, seven hundred fifty-two".