46638741870072 has 96 divisors (see below), whose sum is σ = 137836081918080. Its totient is φ = 14128870121280.

The previous prime is 46638741870067. The next prime is 46638741870137. The reversal of 46638741870072 is 27007814783664.

46638741870072 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 87 + 418 + 70 + 0 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46638741869991 and 46638741870009.

It is a congruent number.

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, 5759658 + ... + 11245049.

It is an arithmetic number, because the mean of its divisors is an integer number (1435792519980).

Almost surely, 2^{46638741870072} is an apocalyptic number.

It is an amenable number.

46638741870072 is an abundant number, since it is smaller than the sum of its proper divisors (91197340048008).

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

46638741870072 is a wasteful number, since it uses less digits than its factorization.

46638741870072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008193 (or 17008186 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 46638741870072 in words is "forty-six trillion, six hundred thirty-eight billion, seven hundred forty-one million, eight hundred seventy thousand, seventy-two".