45939806407881 has 21 divisors (see below), whose sum is σ = 68878475208439. Its totient is φ = 30626415603216.

The previous prime is 45939806407813. The next prime is 45939806407889. The reversal of 45939806407881 is 18870460893954.

The square root of 45939806407881 is 6777891.

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

45939806407881 is a `hidden beast` number, since 4 + 59 + 3 + 98 + 0 + 6 + 407 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1826511705225 + 44113294702656 = 1351485^2 + 6641784^2 .

It is not a de Polignac number, because 45939806407881 - 2¹¹ = 45939806405833 is a prime.

It is a super-2 number, since 2×45939806407881² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45939806407889) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 182877541 + ... + 183128573.

Almost surely, 2^{45939806407881} is an apocalyptic number.

45939806407881 is the 6777891-st square number.

45939806407881 is the 3388946-th centered octagonal number.

It is an amenable number.

45939806407881 is a deficient number, since it is larger than the sum of its proper divisors (22938668800558).

45939806407881 is an frugal number, since it uses more digits than its factorization.

45939806407881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502084 (or 251036 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 45939806407881 in words is "forty-five trillion, nine hundred thirty-nine billion, eight hundred six million, four hundred seven thousand, eight hundred eighty-one".