45942307488 has 576 divisors, whose sum is σ = 173746944000. Its totient is φ = 11673607680.

The previous prime is 45942307487. The next prime is 45942307493. The reversal of 45942307488 is 88470324954.

45942307488 is a `hidden beast` number, since 4 + 594 + 2 + 3 + 0 + 7 + 48 + 8 = 666.

It is a super-2 number, since 2×45942307488² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45942307487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21886663 + ... + 21888761.

It is an arithmetic number, because the mean of its divisors is an integer number (301644000).

Almost surely, 2^45942307488 is an apocalyptic number.

45942307488 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 45942307488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472000).

45942307488 is an abundant number, since it is smaller than the sum of its proper divisors (127804636512).

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

45942307488 is a wasteful number, since it uses less digits than its factorization.

45942307488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45942307488 in words is "forty-five billion, nine hundred forty-two million, three hundred seven thousand, four hundred eighty-eight".