45199836900 has 216 divisors, whose sum is σ = 149366939904. Its totient is φ = 11409868800.

The previous prime is 45199836863. The next prime is 45199836931. The reversal of 45199836900 is 963899154.

45199836900 is a `hidden beast` number, since 4 + 519 + 9 + 8 + 36 + 90 + 0 = 666.

It is a super-2 number, since 2×45199836900² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1996645 + ... + 2019155.

Almost surely, 2^45199836900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45199836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74683469952).

45199836900 is an abundant number, since it is smaller than the sum of its proper divisors (104167103004).

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

45199836900 is a wasteful number, since it uses less digits than its factorization.

45199836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22651 (or 22641 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 45199836900 in words is "forty-five billion, one hundred ninety-nine million, eight hundred thirty-six thousand, nine hundred".