14945640864 has 192 divisors, whose sum is σ = 49603663872. Its totient is φ = 3827174400.

The previous prime is 14945640851. The next prime is 14945640869. The reversal of 14945640864 is 46804654941.

It is not an unprimeable number, because it can be changed into a prime (14945640869) 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, 510594 + ... + 539070.

It is an arithmetic number, because the mean of its divisors is an integer number (258352416).

Almost surely, 2^14945640864 is an apocalyptic number.

14945640864 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 14945640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24801831936).

14945640864 is an abundant number, since it is smaller than the sum of its proper divisors (34658023008).

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

14945640864 is a wasteful number, since it uses less digits than its factorization.

14945640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28579 (or 28571 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 14945640864 in words is "fourteen billion, nine hundred forty-five million, six hundred forty thousand, eight hundred sixty-four".