45634188600 has 2304 divisors, whose sum is σ = 228785356800. Its totient is φ = 7838208000.

The previous prime is 45634188577. The next prime is 45634188617. The reversal of 45634188600 is 688143654.

45634188600 is a `hidden beast` number, since 4 + 5 + 6 + 34 + 1 + 8 + 8 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1061260179 + ... + 1061260221.

It is an arithmetic number, because the mean of its divisors is an integer number (99299200).

Almost surely, 2^45634188600 is an apocalyptic number.

45634188600 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 45634188600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114392678400).

45634188600 is an abundant number, since it is smaller than the sum of its proper divisors (183151168200).

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

45634188600 is a wasteful number, since it uses less digits than its factorization.

45634188600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45634188600 in words is "forty-five billion, six hundred thirty-four million, one hundred eighty-eight thousand, six hundred".