102270022246656 has 1728 divisors, whose sum is σ = 381685506048000. Its totient is φ = 26676754513920.

The previous prime is 102270022246649. The next prime is 102270022246681. The reversal of 102270022246656 is 656642220072201.

It is a happy number.

102270022246656 is a `hidden beast` number, since 102 + 270 + 0 + 2 + 224 + 6 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 12107255425 + ... + 12107263871.

It is an arithmetic number, because the mean of its divisors is an integer number (220882816000).

Almost surely, 2^{102270022246656} is an apocalyptic number.

102270022246656 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 102270022246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190842753024000).

102270022246656 is an abundant number, since it is smaller than the sum of its proper divisors (279415483801344).

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

102270022246656 is a wasteful number, since it uses less digits than its factorization.

102270022246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 102270022246656 in words is "one hundred two trillion, two hundred seventy billion, twenty-two million, two hundred forty-six thousand, six hundred fifty-six".