46383972171264 has 800 divisors, whose sum is σ = 172446632709120. Its totient is φ = 12085666725888.

The previous prime is 46383972171149. The next prime is 46383972171289. The reversal of 46383972171264 is 46217127938364.

46383972171264 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 397 + 217 + 1 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 313163977 + ... + 313312055.

Almost surely, 2^{46383972171264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46383972171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86223316354560).

46383972171264 is an abundant number, since it is smaller than the sum of its proper divisors (126062660537856).

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

46383972171264 is a wasteful number, since it uses less digits than its factorization.

46383972171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148212 (or 148187 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 46383972171264 in words is "forty-six trillion, three hundred eighty-three billion, nine hundred seventy-two million, one hundred seventy-one thousand, two hundred sixty-four".