45163677406311 has 48 divisors (see below), whose sum is σ = 67035281957280. Its totient is φ = 29283465738240.

The previous prime is 45163677406283. The next prime is 45163677406313. The reversal of 45163677406311 is 11360477636154.

45163677406311 is a `hidden beast` number, since 4 + 5 + 163 + 6 + 77 + 406 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 45163677406311 - 2¹⁷ = 45163677275239 is a prime.

It is a super-2 number, since 2×45163677406311² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45163677406313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061829001 + ... + 1061871533.

It is an arithmetic number, because the mean of its divisors is an integer number (1396568374110).

Almost surely, 2^{45163677406311} is an apocalyptic number.

45163677406311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45163677406311 is a deficient number, since it is larger than the sum of its proper divisors (21871604550969).

45163677406311 is a wasteful number, since it uses less digits than its factorization.

45163677406311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51456 (or 51453 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45163677406311 in words is "forty-five trillion, one hundred sixty-three billion, six hundred seventy-seven million, four hundred six thousand, three hundred eleven".