46173666637164 has 24 divisors (see below), whose sum is σ = 117532969622208. Its totient is φ = 13992020193040.

The previous prime is 46173666637151. The next prime is 46173666637223.

46173666637164 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46173666637164³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46173666637095 and 46173666637104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174900252282 + ... + 174900252545.

It is an arithmetic number, because the mean of its divisors is an integer number (4897207067592).

Almost surely, 2^{46173666637164} is an apocalyptic number.

46173666637164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46173666637164 is an abundant number, since it is smaller than the sum of its proper divisors (71359302985044).

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

46173666637164 is a wasteful number, since it uses less digits than its factorization.

46173666637164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349800504845 (or 349800504843 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 66.

The spelling of 46173666637164 in words is "forty-six trillion, one hundred seventy-three billion, six hundred sixty-six million, six hundred thirty-seven thousand, one hundred sixty-four".