14872011264 has 480 divisors, whose sum is σ = 51332339520. Its totient is φ = 4233461760.

The previous prime is 14872011257. The next prime is 14872011283. The reversal of 14872011264 is 46211027841.

It is a happy number.

14872011264 is a `hidden beast` number, since 1 + 487 + 2 + 0 + 112 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28435707 + ... + 28436229.

It is an arithmetic number, because the mean of its divisors is an integer number (106942374).

Almost surely, 2^14872011264 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 14872011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25666169760).

14872011264 is an abundant number, since it is smaller than the sum of its proper divisors (36460328256).

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

14872011264 is a wasteful number, since it uses less digits than its factorization.

14872011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14872011264 in words is "fourteen billion, eight hundred seventy-two million, eleven thousand, two hundred sixty-four".