46971790272 has 448 divisors, whose sum is σ = 160583270400. Its totient is φ = 13313756160.

The previous prime is 46971790241. The next prime is 46971790337. The reversal of 46971790272 is 27209717964.

46971790272 is a `hidden beast` number, since 469 + 7 + 179 + 0 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29974833 + ... + 29976399.

It is an arithmetic number, because the mean of its divisors is an integer number (358444800).

Almost surely, 2^46971790272 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 46971790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80291635200).

46971790272 is an abundant number, since it is smaller than the sum of its proper divisors (113611480128).

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

46971790272 is a wasteful number, since it uses less digits than its factorization.

46971790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 46971790272 in words is "forty-six billion, nine hundred seventy-one million, seven hundred ninety thousand, two hundred seventy-two".