45404576385300 has 216 divisors, whose sum is σ = 155294539388352. Its totient is φ = 11004447168000.

The previous prime is 45404576385263. The next prime is 45404576385383. The reversal of 45404576385300 is 358367540454.

45404576385300 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 4 + 5 + 76 + 38 + 530 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39599065 + ... + 40729535.

It is an arithmetic number, because the mean of its divisors is an integer number (718956200872).

Almost surely, 2^{45404576385300} 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 45404576385300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77647269694176).

45404576385300 is an abundant number, since it is smaller than the sum of its proper divisors (109889963003052).

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

45404576385300 is a wasteful number, since it uses less digits than its factorization.

45404576385300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134559 (or 1134549 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 45404576385300 in words is "forty-five trillion, four hundred four billion, five hundred seventy-six million, three hundred eighty-five thousand, three hundred".