122646963898368 has 4320 divisors, whose sum is σ = 502792491801600. Its totient is φ = 29581020758016.

The previous prime is 122646963898351. The next prime is 122646963898409. The reversal of 122646963898368 is 863898369646221.

122646963898368 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 469 + 6 + 3 + 8 + 98 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 965724125121 + ... + 965724125247.

It is an arithmetic number, because the mean of its divisors is an integer number (116387150880).

Almost surely, 2^{122646963898368} is an apocalyptic number.

122646963898368 is a gapful number since it is divisible by the number (18) 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 122646963898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251396245900800).

122646963898368 is an abundant number, since it is smaller than the sum of its proper divisors (380145527903232).

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

122646963898368 is a wasteful number, since it uses less digits than its factorization.

122646963898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 208 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 81.

The spelling of 122646963898368 in words is "one hundred twenty-two trillion, six hundred forty-six billion, nine hundred sixty-three million, eight hundred ninety-eight thousand, three hundred sixty-eight".