45227202900 has 576 divisors, whose sum is σ = 160729712640. Its totient is φ = 9676800000.

The previous prime is 45227202859. The next prime is 45227202901. The reversal of 45227202900 is 920272254.

It is a super-4 number, since 4×45227202900⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45227202901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160950760 + ... + 160951040.

It is an arithmetic number, because the mean of its divisors is an integer number (279044640).

Almost surely, 2^45227202900 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 45227202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80364856320).

45227202900 is an abundant number, since it is smaller than the sum of its proper divisors (115502509740).

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

45227202900 is a wasteful number, since it uses less digits than its factorization.

45227202900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 45227202900 in words is "forty-five billion, two hundred twenty-seven million, two hundred two thousand, nine hundred".