45180926800 has 120 divisors (see below), whose sum is σ = 109582691616. Its totient is φ = 17900766720.

The previous prime is 45180926717. The next prime is 45180926837. The reversal of 45180926800 is 862908154.

It is a happy number.

45180926800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45180926800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22623402 + ... + 22625398.

Almost surely, 2^45180926800 is an apocalyptic number.

45180926800 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 45180926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54791345808).

45180926800 is an abundant number, since it is smaller than the sum of its proper divisors (64401764816).

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

45180926800 is a wasteful number, since it uses less digits than its factorization.

45180926800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 45180926800 in words is "forty-five billion, one hundred eighty million, nine hundred twenty-six thousand, eight hundred".