45279756288 has 540 divisors, whose sum is σ = 149669170560. Its totient is φ = 13157793792.

The previous prime is 45279756283. The next prime is 45279756329. The reversal of 45279756288 is 88265797254.

45279756288 is a `hidden beast` number, since 45 + 27 + 9 + 7 + 562 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (67737600) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (45279756281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 573161433 + ... + 573161511.

Almost surely, 2^45279756288 is an apocalyptic number.

45279756288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45279756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74834585280).

45279756288 is an abundant number, since it is smaller than the sum of its proper divisors (104389414272).

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

45279756288 is a wasteful number, since it uses less digits than its factorization.

45279756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 45279756288 in words is "forty-five billion, two hundred seventy-nine million, seven hundred fifty-six thousand, two hundred eighty-eight".