46306766760364 has 96 divisors (see below), whose sum is σ = 93772615652352. Its totient is φ = 19774722048000.

The previous prime is 46306766760337. The next prime is 46306766760433.

46306766760364 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46306766760296 and 46306766760305.

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, 2603981817 + ... + 2603999599.

It is an arithmetic number, because the mean of its divisors is an integer number (976798079712).

Almost surely, 2^{46306766760364} is an apocalyptic number.

46306766760364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46306766760364 is an abundant number, since it is smaller than the sum of its proper divisors (47465848891988).

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

46306766760364 is a wasteful number, since it uses less digits than its factorization.

46306766760364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 64.

The spelling of 46306766760364 in words is "forty-six trillion, three hundred six billion, seven hundred sixty-six million, seven hundred sixty thousand, three hundred sixty-four".