45636307200 has 1080 divisors, whose sum is σ = 188793291456. Its totient is φ = 10782720000.

The previous prime is 45636307193. The next prime is 45636307231. The reversal of 45636307200 is 270363654.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 302227125 + ... + 302227275.

Almost surely, 2^45636307200 is an apocalyptic number.

45636307200 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 45636307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94396645728).

45636307200 is an abundant number, since it is smaller than the sum of its proper divisors (143156984256).

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

45636307200 is a wasteful number, since it uses less digits than its factorization.

45636307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 45636 and 307200, that added together give a square (352836 = 594²).

The spelling of 45636307200 in words is "forty-five billion, six hundred thirty-six million, three hundred seven thousand, two hundred".