45876450900 has 432 divisors, whose sum is σ = 164605464576. Its totient is φ = 9813323520.

The previous prime is 45876450821. The next prime is 45876450911. The reversal of 45876450900 is 905467854.

45876450900 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 2×45876450900² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45876450900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15889257 + ... + 15892143.

It is an arithmetic number, because the mean of its divisors is an integer number (381031168).

Almost surely, 2^45876450900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45876450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82302732288).

45876450900 is an abundant number, since it is smaller than the sum of its proper divisors (118729013676).

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

45876450900 is a wasteful number, since it uses less digits than its factorization.

45876450900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 45876450900 in words is "forty-five billion, eight hundred seventy-six million, four hundred fifty thousand, nine hundred".