22145939398656 has 896 divisors, whose sum is σ = 73492303104000. Its totient is φ = 6549481193472.

The previous prime is 22145939398631. The next prime is 22145939398811. The reversal of 22145939398656 is 65689393954122.

22145939398656 is a `hidden beast` number, since 2 + 2 + 1 + 459 + 3 + 93 + 9 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 17074740600 + ... + 17074741896.

Almost surely, 2^{22145939398656} 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 22145939398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36746151552000).

22145939398656 is an abundant number, since it is smaller than the sum of its proper divisors (51346363705344).

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

22145939398656 is a wasteful number, since it uses less digits than its factorization.

22145939398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1577 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 22145939398656 in words is "twenty-two trillion, one hundred forty-five billion, nine hundred thirty-nine million, three hundred ninety-eight thousand, six hundred fifty-six".