45161020385280 has 1536 divisors, whose sum is σ = 168457518028800. Its totient is φ = 11466178560000.

The previous prime is 45161020385251. The next prime is 45161020385329. The reversal of 45161020385280 is 8258302016154.

45161020385280 is a `hidden beast` number, since 4 + 5 + 1 + 610 + 2 + 0 + 3 + 8 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166645831545 + ... + 166645831815.

It is an arithmetic number, because the mean of its divisors is an integer number (109672863300).

Almost surely, 2^{45161020385280} is an apocalyptic number.

45161020385280 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 45161020385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84228759014400).

45161020385280 is an abundant number, since it is smaller than the sum of its proper divisors (123296497643520).

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

45161020385280 is a wasteful number, since it uses less digits than its factorization.

45161020385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 624 counting only the distinct ones).

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

The spelling of 45161020385280 in words is "forty-five trillion, one hundred sixty-one billion, twenty million, three hundred eighty-five thousand, two hundred eighty".