61414645627008 has 160 divisors (see below), whose sum is σ = 183863420516160. Its totient is φ = 20348963845632.

The previous prime is 61414645627007. The next prime is 61414645627039. The reversal of 61414645627008 is 80072654641416.

61414645627008 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 4 + 6 + 4 + 5 + 627 + 0 + 0 + 8 = 666.

61414645627008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61414645627007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16003516 + ... + 19466427.

It is an arithmetic number, because the mean of its divisors is an integer number (1149146378226).

Almost surely, 2^{61414645627008} is an apocalyptic number.

It is an amenable number.

61414645627008 is an abundant number, since it is smaller than the sum of its proper divisors (122448774889152).

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

61414645627008 is a wasteful number, since it uses less digits than its factorization.

61414645627008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35470136 (or 35470115 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 61414645627008 in words is "sixty-one trillion, four hundred fourteen billion, six hundred forty-five million, six hundred twenty-seven thousand, eight".