46161016164 has 72 divisors (see below), whose sum is σ = 124772022648. Its totient is φ = 14338483200.

The previous prime is 46161016141. The next prime is 46161016171.

46161016164 is a `hidden beast` number, since 4 + 616 + 10 + 16 + 16 + 4 = 666.

46161016164 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 38125686564 + 8035329600 = 195258^2 + 89640^2 .

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

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, 311587 + ... + 435210.

It is an arithmetic number, because the mean of its divisors is an integer number (1732944759).

Almost surely, 2^46161016164 is an apocalyptic number.

It is an amenable number.

46161016164 is an abundant number, since it is smaller than the sum of its proper divisors (78611006484).

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

46161016164 is a wasteful number, since it uses less digits than its factorization.

46161016164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746925 (or 746920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 461610 and 16164, that added together give a palindrome (477774).

The spelling of 46161016164 in words is "forty-six billion, one hundred sixty-one million, sixteen thousand, one hundred sixty-four".