45258960384 has 320 divisors, whose sum is σ = 150878914560. Its totient is φ = 13271040000.

The previous prime is 45258960377. The next prime is 45258960389. The reversal of 45258960384 is 48306985254.

45258960384 is a `hidden beast` number, since 4 + 5 + 25 + 8 + 9 + 603 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45258960384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45258960389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4709184 + ... + 4718784.

It is an arithmetic number, because the mean of its divisors is an integer number (471496608).

Almost surely, 2^45258960384 is an apocalyptic number.

45258960384 is a gapful number since it is divisible by the number (44) 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 45258960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75439457280).

45258960384 is an abundant number, since it is smaller than the sum of its proper divisors (105619954176).

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

45258960384 is a wasteful number, since it uses less digits than its factorization.

45258960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45258960384 in words is "forty-five billion, two hundred fifty-eight million, nine hundred sixty thousand, three hundred eighty-four".