45100782161100 has 576 divisors, whose sum is σ = 156419105203200. Its totient is φ = 11110659840000.

The previous prime is 45100782161069. The next prime is 45100782161161. The reversal of 45100782161100 is 116128700154.

45100782161100 is a `hidden beast` number, since 4 + 5 + 10 + 0 + 7 + 8 + 21 + 611 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6135322425 + ... + 6135329775.

Almost surely, 2^{45100782161100} 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 45100782161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78209552601600).

45100782161100 is an abundant number, since it is smaller than the sum of its proper divisors (111318323042100).

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

45100782161100 is a wasteful number, since it uses less digits than its factorization.

45100782161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 45100782161100 in words is "forty-five trillion, one hundred billion, seven hundred eighty-two million, one hundred sixty-one thousand, one hundred".