46138752000 has 792 divisors, whose sum is σ = 183305509296. Its totient is φ = 11151360000.

The previous prime is 46138751993. The next prime is 46138752041. The reversal of 46138752000 is 25783164.

46138752000 is a `hidden beast` number, since 46 + 13 + 87 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×46138752000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139391835 + ... + 139392165.

Almost surely, 2^46138752000 is an apocalyptic number.

46138752000 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 46138752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91652754648).

46138752000 is an abundant number, since it is smaller than the sum of its proper divisors (137166757296).

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

46138752000 is a wasteful number, since it uses less digits than its factorization.

46138752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 46138752000 in words is "forty-six billion, one hundred thirty-eight million, seven hundred fifty-two thousand".