45083324160 has 324 divisors, whose sum is σ = 181452588408. Its totient is φ = 10304630784.

The previous prime is 45083324147. The next prime is 45083324171. The reversal of 45083324160 is 6142338054.

45083324160 is a `hidden beast` number, since 450 + 83 + 32 + 41 + 60 = 666.

It is a super-2 number, since 2×45083324160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524547 + ... + 604413.

Almost surely, 2^45083324160 is an apocalyptic number.

45083324160 is a gapful number since it is divisible by the number (40) 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 45083324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90726294204).

45083324160 is an abundant number, since it is smaller than the sum of its proper divisors (136369264248).

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

45083324160 is a wasteful number, since it uses less digits than its factorization.

45083324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79908 (or 79884 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45083324160 in words is "forty-five billion, eighty-three million, three hundred twenty-four thousand, one hundred sixty".