13645625400 has 288 divisors, whose sum is σ = 50485518720. Its totient is φ = 3275424000.

The previous prime is 13645625381. The next prime is 13645625401. The reversal of 13645625400 is 452654631.

13645625400 is a `hidden beast` number, since 1 + 3 + 64 + 56 + 2 + 540 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13645625401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2036055 + ... + 2042745.

It is an arithmetic number, because the mean of its divisors is an integer number (175296940).

Almost surely, 2^13645625400 is an apocalyptic number.

13645625400 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 13645625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242759360).

13645625400 is an abundant number, since it is smaller than the sum of its proper divisors (36839893320).

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

13645625400 is a wasteful number, since it uses less digits than its factorization.

13645625400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13645625400 in words is "thirteen billion, six hundred forty-five million, six hundred twenty-five thousand, four hundred".