45488737822320 has 240 divisors, whose sum is σ = 164528292015360. Its totient is φ = 11196500189184.

The previous prime is 45488737822291. The next prime is 45488737822331. The reversal of 45488737822320 is 2322873788454.

45488737822320 is a `hidden beast` number, since 4 + 5 + 488 + 7 + 37 + 82 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151697496 + ... + 151997064.

It is an arithmetic number, because the mean of its divisors is an integer number (685534550064).

Almost surely, 2^{45488737822320} is an apocalyptic number.

45488737822320 is a gapful number since it is divisible by the number (40) 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 45488737822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82264146007680).

45488737822320 is an abundant number, since it is smaller than the sum of its proper divisors (119039554193040).

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

45488737822320 is a wasteful number, since it uses less digits than its factorization.

45488737822320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315824 (or 315815 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 45488737822320 in words is "forty-five trillion, four hundred eighty-eight billion, seven hundred thirty-seven million, eight hundred twenty-two thousand, three hundred twenty".