45379000800 has 432 divisors, whose sum is σ = 187139272320. Its totient is φ = 10130641920.

The previous prime is 45379000783. The next prime is 45379000817. The reversal of 45379000800 is 800097354.

It is an interprime number because it is at equal distance from previous prime (45379000783) and next prime (45379000817).

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

It is a congruent number.

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, 2156731 + ... + 2177669.

It is an arithmetic number, because the mean of its divisors is an integer number (433192760).

Almost surely, 2^45379000800 is an apocalyptic number.

45379000800 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 45379000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93569636160).

45379000800 is an abundant number, since it is smaller than the sum of its proper divisors (141760271520).

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

45379000800 is a wasteful number, since it uses less digits than its factorization.

45379000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21015 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 45379000800 in words is "forty-five billion, three hundred seventy-nine million, eight hundred", and thus it is an aban number.