13656630783840 has 576 divisors, whose sum is σ = 47710563328512. Its totient is φ = 3256215961600.

The previous prime is 13656630783811. The next prime is 13656630783893. The reversal of 13656630783840 is 4838703665631.

13656630783840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13656630783840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13246004125 + ... + 13246005155.

It is an arithmetic number, because the mean of its divisors is an integer number (82830839112).

Almost surely, 2^{13656630783840} is an apocalyptic number.

13656630783840 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 13656630783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23855281664256).

13656630783840 is an abundant number, since it is smaller than the sum of its proper divisors (34053932544672).

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

13656630783840 is a wasteful number, since it uses less digits than its factorization.

13656630783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 13656630783840 in words is "thirteen trillion, six hundred fifty-six billion, six hundred thirty million, seven hundred eighty-three thousand, eight hundred forty".