45522205816320 has 2880 divisors, whose sum is σ = 182397409818624. Its totient is φ = 10462197841920.

The previous prime is 45522205816319. The next prime is 45522205816349. The reversal of 45522205816320 is 2361850222554.

45522205816320 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 2 + 2 + 0 + 5 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 548460310999 + ... + 548460311081.

Almost surely, 2^{45522205816320} is an apocalyptic number.

45522205816320 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 45522205816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91198704909312).

45522205816320 is an abundant number, since it is smaller than the sum of its proper divisors (136875204002304).

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

45522205816320 is a wasteful number, since it uses less digits than its factorization.

45522205816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45522205816320 in words is "forty-five trillion, five hundred twenty-two billion, two hundred five million, eight hundred sixteen thousand, three hundred twenty".