14495232960 has 896 divisors, whose sum is σ = 59645214720. Its totient is φ = 3284582400.

The previous prime is 14495232959. The next prime is 14495232967. The reversal of 14495232960 is 6923259441.

14495232960 is a `hidden beast` number, since 1 + 4 + 49 + 523 + 29 + 60 = 666.

It is a super-2 number, since 2×14495232960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14495232967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80084070 + ... + 80084250.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320).

Almost surely, 2^14495232960 is an apocalyptic number.

14495232960 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 14495232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822607360).

14495232960 is an abundant number, since it is smaller than the sum of its proper divisors (45149981760).

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

14495232960 is a wasteful number, since it uses less digits than its factorization.

14495232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 14495232960 in words is "fourteen billion, four hundred ninety-five million, two hundred thirty-two thousand, nine hundred sixty".