45797508000 has 768 divisors, whose sum is σ = 176620953600. Its totient is φ = 11503641600.

The previous prime is 45797507957. The next prime is 45797508047. The reversal of 45797508000 is 80579754.

45797508000 is a `hidden beast` number, since 4 + 57 + 97 + 508 + 0 + 0 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 255851911 + ... + 255852089.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 2^45797508000 is an apocalyptic number.

45797508000 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 45797508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88310476800).

45797508000 is an abundant number, since it is smaller than the sum of its proper divisors (130823445600).

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

45797508000 is a wasteful number, since it uses less digits than its factorization.

45797508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 45797508000 in words is "forty-five billion, seven hundred ninety-seven million, five hundred eight thousand".