122553452350656 has 280 divisors, whose sum is σ = 367255178172960. Its totient is φ = 40406401179648.

The previous prime is 122553452350643. The next prime is 122553452350663. The reversal of 122553452350656 is 656053254355221.

122553452350656 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 3 + 4 + 523 + 50 + 65 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285065910 + ... + 285495498.

It is an arithmetic number, because the mean of its divisors is an integer number (1311625636332).

Almost surely, 2^{122553452350656} is an apocalyptic number.

122553452350656 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 122553452350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183627589086480).

122553452350656 is an abundant number, since it is smaller than the sum of its proper divisors (244701725822304).

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

122553452350656 is a wasteful number, since it uses less digits than its factorization.

122553452350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430213 (or 430194 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 122553452350656 in words is "one hundred twenty-two trillion, five hundred fifty-three billion, four hundred fifty-two million, three hundred fifty thousand, six hundred fifty-six".