46341366314364 has 96 divisors (see below), whose sum is σ = 136765033735680. Its totient is φ = 13432280083200.

The previous prime is 46341366314333. The next prime is 46341366314377.

46341366314364 is a `hidden beast` number, since 46 + 3 + 4 + 136 + 6 + 31 + 436 + 4 = 666.

46341366314364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46341366314364² (a number of 28 digits) contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 46341366314364.

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, 847970157 + ... + 848024804.

It is an arithmetic number, because the mean of its divisors is an integer number (1424635768080).

Almost surely, 2^{46341366314364} is an apocalyptic number.

46341366314364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46341366314364 is an abundant number, since it is smaller than the sum of its proper divisors (90423667421316).

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

46341366314364 is a wasteful number, since it uses less digits than its factorization.

46341366314364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695995008 (or 1695995000 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 46341366314364 in words is "forty-six trillion, three hundred forty-one billion, three hundred sixty-six million, three hundred fourteen thousand, three hundred sixty-four".