35122422456 has 96 divisors (see below), whose sum is σ = 104228467200. Its totient is φ = 10596217920.

The previous prime is 35122422451. The next prime is 35122422509. The reversal of 35122422456 is 65422422153.

35122422456 is a `hidden beast` number, since 351 + 22 + 42 + 245 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35122422456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35122422451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 82105 + ... + 277463.

It is an arithmetic number, because the mean of its divisors is an integer number (1085713200).

Almost surely, 2^35122422456 is an apocalyptic number.

35122422456 is a gapful number since it is divisible by the number (36) 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 35122422456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52114233600).

35122422456 is an abundant number, since it is smaller than the sum of its proper divisors (69106044744).

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

35122422456 is a wasteful number, since it uses less digits than its factorization.

35122422456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195609 (or 195602 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

It can be divided in two parts, 351224 and 22456, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 35122422456 in words is "thirty-five billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred fifty-six".