61466505003144 has 96 divisors (see below), whose sum is σ = 167332973670720. Its totient is φ = 20382862566528.

The previous prime is 61466505003119. The next prime is 61466505003179. The reversal of 61466505003144 is 44130050566416.

61466505003144 is a `hidden beast` number, since 6 + 1 + 4 + 66 + 50 + 500 + 31 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61466505003144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150529477 + ... + 150937259.

It is an arithmetic number, because the mean of its divisors is an integer number (1743051809070).

Almost surely, 2^{61466505003144} is an apocalyptic number.

It is an amenable number.

61466505003144 is an abundant number, since it is smaller than the sum of its proper divisors (105866468667576).

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

61466505003144 is a wasteful number, since it uses less digits than its factorization.

61466505003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418619 (or 418612 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 61466505003144 in words is "sixty-one trillion, four hundred sixty-six billion, five hundred five million, three thousand, one hundred forty-four".