46405355350464 has 112 divisors (see below), whose sum is σ = 148825255856640. Its totient is φ = 14062228888320.

The previous prime is 46405355350447. The next prime is 46405355350513.

46405355350464 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 535 + 53 + 50 + 4 + 6 + 4 = 666.

46405355350464 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 46405355350464.

It is a congruent number.

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, 1220660584 + ... + 1220698599.

Almost surely, 2^{46405355350464} is an apocalyptic number.

46405355350464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46405355350464 is an abundant number, since it is smaller than the sum of its proper divisors (102419900506176).

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

46405355350464 is a wasteful number, since it uses less digits than its factorization.

46405355350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441359215 (or 2441359199 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

It can be divided in two parts, 4640535 and 5350464, that added together give a palindrome (9990999).

The spelling of 46405355350464 in words is "forty-six trillion, four hundred five billion, three hundred fifty-five million, three hundred fifty thousand, four hundred sixty-four".