14951515264 has 256 divisors, whose sum is σ = 37945958400. Its totient is φ = 5723136000.

The previous prime is 14951515261. The next prime is 14951515277. The reversal of 14951515264 is 46251515941.

It is a self number, because there is not a number n which added to its sum of digits gives 14951515264.

It is not an unprimeable number, because it can be changed into a prime (14951515261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21637159 + ... + 21637849.

It is an arithmetic number, because the mean of its divisors is an integer number (148226400).

Almost surely, 2^14951515264 is an apocalyptic number.

14951515264 is a gapful number since it is divisible by the number (14) 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 14951515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972979200).

14951515264 is an abundant number, since it is smaller than the sum of its proper divisors (22994443136).

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

14951515264 is a wasteful number, since it uses less digits than its factorization.

14951515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The spelling of 14951515264 in words is "fourteen billion, nine hundred fifty-one million, five hundred fifteen thousand, two hundred sixty-four".