46892431872 has 400 divisors, whose sum is σ = 164451161952. Its totient is φ = 13115105280.

The previous prime is 46892431871. The next prime is 46892431903. The reversal of 46892431872 is 27813429864.

46892431872 is a `hidden beast` number, since 46 + 8 + 92 + 431 + 87 + 2 = 666.

It is a super-2 number, since 2×46892431872² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46892431871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5926543 + ... + 5934449.

Almost surely, 2^46892431872 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 46892431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225580976).

46892431872 is an abundant number, since it is smaller than the sum of its proper divisors (117558730080).

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

46892431872 is a wasteful number, since it uses less digits than its factorization.

46892431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7936 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 46892431872 in words is "forty-six billion, eight hundred ninety-two million, four hundred thirty-one thousand, eight hundred seventy-two".