45102091656600 has 576 divisors, whose sum is σ = 167085284652000. Its totient is φ = 10811982643200.

The previous prime is 45102091656563. The next prime is 45102091656617. The reversal of 45102091656600 is 665619020154.

45102091656600 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 20 + 9 + 16 + 5 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1098503272 + ... + 1098544328.

Almost surely, 2^{45102091656600} is an apocalyptic number.

45102091656600 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 45102091656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83542642326000).

45102091656600 is an abundant number, since it is smaller than the sum of its proper divisors (121983192995400).

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

45102091656600 is a wasteful number, since it uses less digits than its factorization.

45102091656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41708 (or 41696 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45102091656600 in words is "forty-five trillion, one hundred two billion, ninety-one million, six hundred fifty-six thousand, six hundred".