22351379384160 has 576 divisors, whose sum is σ = 84265545611520. Its totient is φ = 5578616862720.

The previous prime is 22351379384129. The next prime is 22351379384177. The reversal of 22351379384160 is 6148397315322.

22351379384160 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 137 + 93 + 8 + 416 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22351379384097 and 22351379384106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61131490 + ... + 61496030.

It is an arithmetic number, because the mean of its divisors is an integer number (146294350020).

It is a 1-persistent number, because it is pandigital, but 2⋅22351379384160 = 44702758768320 is not.

Almost surely, 2^{22351379384160} is an apocalyptic number.

22351379384160 is a gapful number since it is divisible by the number (20) 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 22351379384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42132772805760).

22351379384160 is an abundant number, since it is smaller than the sum of its proper divisors (61914166227360).

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

22351379384160 is a wasteful number, since it uses less digits than its factorization.

22351379384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364673 (or 364653 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 22351379384160 in words is "twenty-two trillion, three hundred fifty-one billion, three hundred seventy-nine million, three hundred eighty-four thousand, one hundred sixty".