45809193600 has 672 divisors, whose sum is σ = 172630496700. Its totient is φ = 12003655680.

The previous prime is 45809193589. The next prime is 45809193601. The reversal of 45809193600 is 639190854.

It is a happy number.

45809193600 is a `hidden beast` number, since 4 + 580 + 9 + 1 + 9 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7427681856 + 38381511744 = 86184^2 + 195912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45809193601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 170294266 + ... + 170294534.

Almost surely, 2^45809193600 is an apocalyptic number.

45809193600 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 45809193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86315248350).

45809193600 is an abundant number, since it is smaller than the sum of its proper divisors (126821303100).

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

45809193600 is an equidigital number, since it uses as much as digits as its factorization.

45809193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 45809193600 in words is "forty-five billion, eight hundred nine million, one hundred ninety-three thousand, six hundred".