22150622817792 has 1600 divisors, whose sum is σ = 81203549306880. Its totient is φ = 5871507554304.

The previous prime is 22150622817769. The next prime is 22150622817803. The reversal of 22150622817792 is 29771822605122.

It is a happy number.

22150622817792 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 0 + 622 + 8 + 1 + 7 + 7 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72151865703 + ... + 72151866009.

Almost surely, 2^{22150622817792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22150622817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40601774653440).

22150622817792 is an abundant number, since it is smaller than the sum of its proper divisors (59052926489088).

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

22150622817792 is a wasteful number, since it uses less digits than its factorization.

22150622817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 22150622817792 in words is "twenty-two trillion, one hundred fifty billion, six hundred twenty-two million, eight hundred seventeen thousand, seven hundred ninety-two".