14528962560 has 672 divisors, whose sum is σ = 57374576640. Its totient is φ = 3121348608.

The previous prime is 14528962549. The next prime is 14528962573. The reversal of 14528962560 is 6526982541.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×14528962560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 114401217 + ... + 114401343.

Almost surely, 2^14528962560 is an apocalyptic number.

14528962560 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 14528962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687288320).

14528962560 is an abundant number, since it is smaller than the sum of its proper divisors (42845614080).

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

14528962560 is a wasteful number, since it uses less digits than its factorization.

14528962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 14528962560 in words is "fourteen billion, five hundred twenty-eight million, nine hundred sixty-two thousand, five hundred sixty".