45515698200 has 1008 divisors, whose sum is σ = 193287606480. Its totient is φ = 9915333120.

The previous prime is 45515698147. The next prime is 45515698211. The reversal of 45515698200 is 289651554.

45515698200 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 569 + 82 + 0 + 0 = 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 251 ways as a sum of consecutive naturals, for example, 164316462 + ... + 164316738.

Almost surely, 2^45515698200 is an apocalyptic number.

45515698200 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 45515698200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96643803240).

45515698200 is an abundant number, since it is smaller than the sum of its proper divisors (147771908280).

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

45515698200 is a wasteful number, since it uses less digits than its factorization.

45515698200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 45515698200 in words is "forty-five billion, five hundred fifteen million, six hundred ninety-eight thousand, two hundred".