13514462400 has 168 divisors, whose sum is σ = 45769483264. Its totient is φ = 3487564800.

The previous prime is 13514462371. The next prime is 13514462447. The reversal of 13514462400 is 426441531.

It is a super-2 number, since 2×13514462400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103389 + ... + 194211.

Almost surely, 2^13514462400 is an apocalyptic number.

13514462400 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 13514462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22884741632).

13514462400 is an abundant number, since it is smaller than the sum of its proper divisors (32255020864).

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

13514462400 is a wasteful number, since it uses less digits than its factorization.

13514462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90879 (or 90864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 13514462400 in words is "thirteen billion, five hundred fourteen million, four hundred sixty-two thousand, four hundred".