46343433434364 has 96 divisors (see below), whose sum is σ = 131156959584000. Its totient is φ = 14034397970880.

The previous prime is 46343433434303. The next prime is 46343433434411.

46343433434364 is a `hidden beast` number, since 46 + 3 + 434 + 33 + 43 + 43 + 64 = 666.

46343433434364 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 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 46343433434364.

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, 10751662 + ... + 14432085.

It is an arithmetic number, because the mean of its divisors is an integer number (1366218329000).

Almost surely, 2^{46343433434364} is an apocalyptic number.

46343433434364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46343433434364 is an abundant number, since it is smaller than the sum of its proper divisors (84813526149636).

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

46343433434364 is a wasteful number, since it uses less digits than its factorization.

46343433434364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25185320 (or 25185312 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 54.

The spelling of 46343433434364 in words is "forty-six trillion, three hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, three hundred sixty-four".