45115244928 has 288 divisors, whose sum is σ = 144400922640. Its totient is φ = 13504278528.

The previous prime is 45115244927. The next prime is 45115244953. The reversal of 45115244928 is 82944251154.

45115244928 is a `hidden beast` number, since 4 + 5 + 1 + 152 + 4 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45115244927) 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, 7200325 + ... + 7206587.

Almost surely, 2^45115244928 is an apocalyptic number.

45115244928 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 45115244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72200461320).

45115244928 is an abundant number, since it is smaller than the sum of its proper divisors (99285677712).

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

45115244928 is a wasteful number, since it uses less digits than its factorization.

45115244928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6318 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 45115244928 in words is "forty-five billion, one hundred fifteen million, two hundred forty-four thousand, nine hundred twenty-eight".