1014120136656 has 60 divisors (see below), whose sum is σ = 3096139512960. Its totient is φ = 307309131840.

The previous prime is 1014120136649. The next prime is 1014120136693. The reversal of 1014120136656 is 6566310214101.

1014120136656 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 201 + 366 + 56 = 666.

It is a super-2 number, since 2×1014120136656² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1014120136656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320112096 + ... + 320115263.

It is an arithmetic number, because the mean of its divisors is an integer number (51602325216).

Almost surely, 2^{1014120136656} is an apocalyptic number.

1014120136656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1014120136656 is an abundant number, since it is smaller than the sum of its proper divisors (2082019376304).

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

1014120136656 is a wasteful number, since it uses less digits than its factorization.

1014120136656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640227384 (or 640227375 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1014120136656 in words is "one trillion, fourteen billion, one hundred twenty million, one hundred thirty-six thousand, six hundred fifty-six".