45224696200320 has 2560 divisors, whose sum is σ = 204152477760000. Its totient is φ = 9479925891072.

The previous prime is 45224696200199. The next prime is 45224696200331. The reversal of 45224696200320 is 2300269642254.

45224696200320 is a `hidden beast` number, since 4 + 522 + 4 + 6 + 96 + 2 + 0 + 0 + 32 + 0 = 666.

It is a super-2 number, since 2×45224696200320² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41376665694 + ... + 41376666786.

It is an arithmetic number, because the mean of its divisors is an integer number (79747061625).

Almost surely, 2^{45224696200320} is an apocalyptic number.

45224696200320 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 45224696200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102076238880000).

45224696200320 is an abundant number, since it is smaller than the sum of its proper divisors (158927781559680).

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

45224696200320 is a wasteful number, since it uses less digits than its factorization.

45224696200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 45224696200320 in words is "forty-five trillion, two hundred twenty-four billion, six hundred ninety-six million, two hundred thousand, three hundred twenty".