45411210900 has 576 divisors, whose sum is σ = 171911496960. Its totient is φ = 10159718400.

The previous prime is 45411210877. The next prime is 45411210931. The reversal of 45411210900 is 901211454.

45411210900 is a `hidden beast` number, since 4 + 541 + 12 + 109 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26758852 + ... + 26760548.

It is an arithmetic number, because the mean of its divisors is an integer number (298457460).

Almost surely, 2^45411210900 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 45411210900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85955748480).

45411210900 is an abundant number, since it is smaller than the sum of its proper divisors (126500286060).

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

45411210900 is a wasteful number, since it uses less digits than its factorization.

45411210900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 45411210900 in words is "forty-five billion, four hundred eleven million, two hundred ten thousand, nine hundred".