46631375866089 has 81 divisors (see below), whose sum is σ = 81155646236613. Its totient is φ = 25725361201344.

The previous prime is 46631375865959. The next prime is 46631375866109. The reversal of 46631375866089 is 98066857313664.

The square root of 46631375866089 is 6828717.

It is a perfect power (a square), and thus also a powerful number.

46631375866089 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 1 + 3 + 7 + 5 + 8 + 6 + 608 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13171999955625 + 33459375910464 = 3629325^2 + 5784408^2 .

It is not a de Polignac number, because 46631375866089 - 2²⁵ = 46631342311657 is a prime.

It is a super-4 number, since 4×46631375866089⁴ (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (46631375466089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4158683047 + ... + 4158694259.

Almost surely, 2^{46631375866089} is an apocalyptic number.

46631375866089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46631375866089 is the 6828717-th square number.

46631375866089 is the 3414359-th centered octagonal number.

It is an amenable number.

46631375866089 is a deficient number, since it is larger than the sum of its proper divisors (34524270370524).

46631375866089 is an frugal number, since it uses more digits than its factorization.

46631375866089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22504 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 46631375866089 in words is "forty-six trillion, six hundred thirty-one billion, three hundred seventy-five million, eight hundred sixty-six thousand, eighty-nine".