46125688896 has 224 divisors, whose sum is σ = 157098471680. Its totient is φ = 12997988352.

The previous prime is 46125688849. The next prime is 46125688907. The reversal of 46125688896 is 69888652164.

46125688896 is a `hidden beast` number, since 4 + 61 + 2 + 568 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46125688896² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856890 + ... + 909126.

Almost surely, 2^46125688896 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 46125688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78549235840).

46125688896 is an abundant number, since it is smaller than the sum of its proper divisors (110972782784).

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

46125688896 is a wasteful number, since it uses less digits than its factorization.

46125688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52338 (or 52322 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 46125688896 in words is "forty-six billion, one hundred twenty-five million, six hundred eighty-eight thousand, eight hundred ninety-six".