45217105920000 has 5400 divisors, whose sum is σ = 218453195600640. Its totient is φ = 8918138880000.

The previous prime is 45217105919963. The next prime is 45217105920001. The reversal of 45217105920000 is 2950171254.

45217105920000 is a `hidden beast` number, since 4 + 52 + 1 + 7 + 10 + 592 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45217105920001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1458616319985 + ... + 1458616320015.

Almost surely, 2^{45217105920000} is an apocalyptic number.

45217105920000 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 45217105920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226597800320).

45217105920000 is an abundant number, since it is smaller than the sum of its proper divisors (173236089680640).

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

45217105920000 is a wasteful number, since it uses less digits than its factorization.

45217105920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 45217105920000 in words is "forty-five trillion, two hundred seventeen billion, one hundred five million, nine hundred twenty thousand".