45296842752 has 288 divisors, whose sum is σ = 150020488800. Its totient is φ = 12898271232.

The previous prime is 45296842751. The next prime is 45296842823. The reversal of 45296842752 is 25724869254.

45296842752 is a `hidden beast` number, since 4 + 5 + 296 + 84 + 275 + 2 = 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 (45296842751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73414348 + ... + 73414964.

It is an arithmetic number, because the mean of its divisors is an integer number (520904475).

Almost surely, 2^45296842752 is an apocalyptic number.

45296842752 is a gapful number since it is divisible by the number (42) 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 45296842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010244400).

45296842752 is an abundant number, since it is smaller than the sum of its proper divisors (104723646048).

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

45296842752 is a wasteful number, since it uses less digits than its factorization.

45296842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1198 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 45296842752 in words is "forty-five billion, two hundred ninety-six million, eight hundred forty-two thousand, seven hundred fifty-two".