14864075520 has 432 divisors, whose sum is σ = 55641424608. Its totient is φ = 3371827200.

The previous prime is 14864075449. The next prime is 14864075531. The reversal of 14864075520 is 2557046841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37067320 + ... + 37067720.

It is an arithmetic number, because the mean of its divisors is an integer number (128799594).

Almost surely, 2^14864075520 is an apocalyptic number.

14864075520 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 14864075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820712304).

14864075520 is an abundant number, since it is smaller than the sum of its proper divisors (40777349088).

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

14864075520 is a wasteful number, since it uses less digits than its factorization.

14864075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 14864075520 in words is "fourteen billion, eight hundred sixty-four million, seventy-five thousand, five hundred twenty".