46121344312164 has 48 divisors (see below), whose sum is σ = 117400940951616. Its totient is φ = 13976027392000.

The previous prime is 46121344312151. The next prime is 46121344312171.

46121344312164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46121344312164² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12166744 + ... + 15500720.

It is an arithmetic number, because the mean of its divisors is an integer number (2445852936492).

Almost surely, 2^{46121344312164} is an apocalyptic number.

46121344312164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46121344312164 is an abundant number, since it is smaller than the sum of its proper divisors (71279596639452).

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

46121344312164 is a wasteful number, since it uses less digits than its factorization.

46121344312164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438796 (or 3438794 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 4612134 and 4312164, that added together give a palindrome (8924298).

The spelling of 46121344312164 in words is "forty-six trillion, one hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, one hundred sixty-four".