61516600310466 has 192 divisors, whose sum is σ = 162142764376320. Its totient is φ = 16464626196480.

The previous prime is 61516600310449. The next prime is 61516600310513. The reversal of 61516600310466 is 66401300661516.

61516600310466 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 6 + 600 + 31 + 0 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×61516600310466² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259268926 + ... + 259506086.

It is an arithmetic number, because the mean of its divisors is an integer number (844493564460).

Almost surely, 2^{61516600310466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61516600310466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81071382188160).

61516600310466 is an abundant number, since it is smaller than the sum of its proper divisors (100626164065854).

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

61516600310466 is a wasteful number, since it uses less digits than its factorization.

61516600310466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238409 (or 238406 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 61516600310466 in words is "sixty-one trillion, five hundred sixteen billion, six hundred million, three hundred ten thousand, four hundred sixty-six".