45215325900 has 432 divisors, whose sum is σ = 152991541248. Its totient is φ = 11570688000.

The previous prime is 45215325893. The next prime is 45215325913. The reversal of 45215325900 is 952351254.

It is a happy number.

45215325900 is a `hidden beast` number, since 4 + 52 + 15 + 3 + 2 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145386745 + ... + 145387055.

Almost surely, 2^45215325900 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 45215325900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495770624).

45215325900 is an abundant number, since it is smaller than the sum of its proper divisors (107776215348).

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

45215325900 is a wasteful number, since it uses less digits than its factorization.

45215325900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 45215325900 in words is "forty-five billion, two hundred fifteen million, three hundred twenty-five thousand, nine hundred".