45712738082700 has 1296 divisors, whose sum is σ = 173819097088000. Its totient is φ = 9958943416320.

The previous prime is 45712738082699. The next prime is 45712738082701. The reversal of 45712738082700 is 728083721754.

45712738082700 is a `hidden beast` number, since 457 + 12 + 7 + 38 + 0 + 82 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45712738082699) and next prime (45712738082701).

It is not an unprimeable number, because it can be changed into a prime (45712738082701) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8930010741 + ... + 8930015859.

Almost surely, 2^{45712738082700} 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 45712738082700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86909548544000).

45712738082700 is an abundant number, since it is smaller than the sum of its proper divisors (128106359005300).

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

45712738082700 is a wasteful number, since it uses less digits than its factorization.

45712738082700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 45712738082700 in words is "forty-five trillion, seven hundred twelve billion, seven hundred thirty-eight million, eighty-two thousand, seven hundred".