46145433454164 has 96 divisors (see below), whose sum is σ = 130522797619200. Its totient is φ = 13982343907680.

The previous prime is 46145433454151. The next prime is 46145433454201.

46145433454164 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 5 + 4 + 3 + 34 + 541 + 64 = 666.

46145433454164 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46145433454164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13331707 + ... + 16432445.

It is an arithmetic number, because the mean of its divisors is an integer number (1359612475200).

Almost surely, 2^{46145433454164} is an apocalyptic number.

46145433454164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46145433454164 is an abundant number, since it is smaller than the sum of its proper divisors (84377364165036).

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

46145433454164 is a wasteful number, since it uses less digits than its factorization.

46145433454164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113290 (or 3113282 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 46145433454164 in words is "forty-six trillion, one hundred forty-five billion, four hundred thirty-three million, four hundred fifty-four thousand, one hundred sixty-four".