22070648291328 has 1440 divisors, whose sum is σ = 83127729484800. Its totient is φ = 5485249953792.

The previous prime is 22070648291309. The next prime is 22070648291339. The reversal of 22070648291328 is 82319284607022.

22070648291328 is a `hidden beast` number, since 2 + 2 + 0 + 70 + 6 + 482 + 91 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×22070648291328² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16732863853 + ... + 16732865171.

It is an arithmetic number, because the mean of its divisors is an integer number (57727589920).

Almost surely, 2^{22070648291328} is an apocalyptic number.

22070648291328 is a gapful number since it is divisible by the number (28) 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 22070648291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41563864742400).

22070648291328 is an abundant number, since it is smaller than the sum of its proper divisors (61057081193472).

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

22070648291328 is a wasteful number, since it uses less digits than its factorization.

22070648291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22070648291328 in words is "twenty-two trillion, seventy billion, six hundred forty-eight million, two hundred ninety-one thousand, three hundred twenty-eight".