46367151264 has 144 divisors (see below), whose sum is σ = 150764664960. Its totient is φ = 13241479680.

The previous prime is 46367151223. The next prime is 46367151307. The reversal of 46367151264 is 46215176364.

46367151264 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 71 + 512 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763757 + ... + 5771795.

It is an arithmetic number, because the mean of its divisors is an integer number (1046976840).

Almost surely, 2^46367151264 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 46367151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75382332480).

46367151264 is an abundant number, since it is smaller than the sum of its proper divisors (104397513696).

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

46367151264 is a wasteful number, since it uses less digits than its factorization.

46367151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10912 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 46367151264 in words is "forty-six billion, three hundred sixty-seven million, one hundred fifty-one thousand, two hundred sixty-four".