10822142656 has 112 divisors (see below), whose sum is σ = 24062911488. Its totient is φ = 4795315200.

The previous prime is 10822142623. The next prime is 10822142767. The reversal of 10822142656 is 65624122801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377151 + ... + 3380353.

It is an arithmetic number, because the mean of its divisors is an integer number (214847424).

Almost surely, 2^10822142656 is an apocalyptic number.

10822142656 is a gapful number since it is divisible by the number (16) 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 10822142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031455744).

10822142656 is an abundant number, since it is smaller than the sum of its proper divisors (13240768832).

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

10822142656 is a wasteful number, since it uses less digits than its factorization.

10822142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 10822142656 in words is "ten billion, eight hundred twenty-two million, one hundred forty-two thousand, six hundred fifty-six".