45835106800 has 240 divisors, whose sum is σ = 128057785920. Its totient is φ = 15441592320.

The previous prime is 45835106791. The next prime is 45835106851. The reversal of 45835106800 is 860153854.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48095124 + ... + 48096076.

It is an arithmetic number, because the mean of its divisors is an integer number (533574108).

Almost surely, 2^45835106800 is an apocalyptic number.

45835106800 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 45835106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64028892960).

45835106800 is an abundant number, since it is smaller than the sum of its proper divisors (82222679120).

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

45835106800 is a wasteful number, since it uses less digits than its factorization.

45835106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 45835106800 in words is "forty-five billion, eight hundred thirty-five million, one hundred six thousand, eight hundred".