46258974720 has 1664 divisors, whose sum is σ = 215141529600. Its totient is φ = 9172942848.

The previous prime is 46258974691. The next prime is 46258974731. The reversal of 46258974720 is 2747985264.

46258974720 is a `hidden beast` number, since 4 + 625 + 8 + 9 + 7 + 4 + 7 + 2 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 1250242542 + ... + 1250242578.

Almost surely, 2^46258974720 is an apocalyptic number.

46258974720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46258974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107570764800).

46258974720 is an abundant number, since it is smaller than the sum of its proper divisors (168882554880).

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

46258974720 is a wasteful number, since it uses less digits than its factorization.

46258974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 46258974720 in words is "forty-six billion, two hundred fifty-eight million, nine hundred seventy-four thousand, seven hundred twenty".