61918318521000 has 192 divisors, whose sum is σ = 210205879116480. Its totient is φ = 16438812950400.

The previous prime is 61918318520987. The next prime is 61918318521023. The reversal of 61918318521000 is 12581381916.

61918318521000 is a `hidden beast` number, since 6 + 1 + 91 + 8 + 31 + 8 + 521 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13110774 + ... + 17196773.

It is an arithmetic number, because the mean of its divisors is an integer number (1094822287065).

Almost surely, 2^{61918318521000} is an apocalyptic number.

61918318521000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61918318521000 is an abundant number, since it is smaller than the sum of its proper divisors (148287560595480).

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

61918318521000 is a wasteful number, since it uses less digits than its factorization.

61918318521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30307801 (or 30307784 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 61918318521000 in words is "sixty-one trillion, nine hundred eighteen billion, three hundred eighteen million, five hundred twenty-one thousand".