45131836464 has 180 divisors, whose sum is σ = 149512909728. Its totient is φ = 12624226560.

The previous prime is 45131836441. The next prime is 45131836507. The reversal of 45131836464 is 46463813154.

45131836464 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 183 + 6 + 464 = 666.

It is a super-2 number, since 2×45131836464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126889 + ... + 326135.

Almost surely, 2^45131836464 is an apocalyptic number.

45131836464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45131836464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74756454864).

45131836464 is an abundant number, since it is smaller than the sum of its proper divisors (104381073264).

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

45131836464 is a wasteful number, since it uses less digits than its factorization.

45131836464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199296 (or 199276 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 45131836464 in words is "forty-five billion, one hundred thirty-one million, eight hundred thirty-six thousand, four hundred sixty-four".