122653596816 has 210 divisors, whose sum is σ = 376051491990. Its totient is φ = 38731385088.

The previous prime is 122653596811. The next prime is 122653596851. The reversal of 122653596816 is 618695356221.

122653596816 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 535 + 96 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92231260416 + 30422336400 = 303696^2 + 174420^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122653596811) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4196140 + ... + 4225268.

Almost surely, 2^122653596816 is an apocalyptic number.

122653596816 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 122653596816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188025745995).

122653596816 is an abundant number, since it is smaller than the sum of its proper divisors (253397895174).

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

122653596816 is an equidigital number, since it uses as much as digits as its factorization.

122653596816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29193 (or 29153 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 122653596816 in words is "one hundred twenty-two billion, six hundred fifty-three million, five hundred ninety-six thousand, eight hundred sixteen".