45809971200 has 936 divisors, whose sum is σ = 195206339328. Its totient is φ = 10431037440.

The previous prime is 45809971199. The next prime is 45809971271. The reversal of 45809971200 is 217990854.

It is a super-2 number, since 2×45809971200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174182269 + ... + 174182531.

Almost surely, 2^45809971200 is an apocalyptic number.

45809971200 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 45809971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97603169664).

45809971200 is an abundant number, since it is smaller than the sum of its proper divisors (149396368128).

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

45809971200 is an equidigital number, since it uses as much as digits as its factorization.

45809971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 45809971200 in words is "forty-five billion, eight hundred nine million, nine hundred seventy-one thousand, two hundred".