46407353472 has 384 divisors, whose sum is σ = 146931408000. Its totient is φ = 14002716672.

The previous prime is 46407353471. The next prime is 46407353477. The reversal of 46407353472 is 27435370464.

46407353472 is a `hidden beast` number, since 4 + 6 + 40 + 7 + 3 + 534 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (46407353471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71726653 + ... + 71727299.

It is an arithmetic number, because the mean of its divisors is an integer number (382633875).

Almost surely, 2^46407353472 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 46407353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73465704000).

46407353472 is an abundant number, since it is smaller than the sum of its proper divisors (100524054528).

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

46407353472 is a wasteful number, since it uses less digits than its factorization.

46407353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 46407353472 in words is "forty-six billion, four hundred seven million, three hundred fifty-three thousand, four hundred seventy-two".