13114542400 has 168 divisors, whose sum is σ = 33590484000. Its totient is φ = 5033441280.

The previous prime is 13114542383. The next prime is 13114542433. The reversal of 13114542400 is 424541131.

It is a super-2 number, since 2×13114542400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8304811 + ... + 8306389.

Almost surely, 2^13114542400 is an apocalyptic number.

13114542400 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 13114542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795242000).

13114542400 is an abundant number, since it is smaller than the sum of its proper divisors (20475941600).

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

13114542400 is a wasteful number, since it uses less digits than its factorization.

13114542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 13114542400 in words is "thirteen billion, one hundred fourteen million, five hundred forty-two thousand, four hundred".