14534400960 has 336 divisors, whose sum is σ = 52258508640. Its totient is φ = 3702988800.

The previous prime is 14534400941. The next prime is 14534401031. The reversal of 14534400960 is 6900443541.

It is a super-2 number, since 2×14534400960² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 8434659 + ... + 8436381.

Almost surely, 2^14534400960 is an apocalyptic number.

14534400960 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 14534400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129254320).

14534400960 is an abundant number, since it is smaller than the sum of its proper divisors (37724107680).

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

14534400960 is a wasteful number, since it uses less digits than its factorization.

14534400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14534400960 in words is "fourteen billion, five hundred thirty-four million, four hundred thousand, nine hundred sixty".