354117793722 has 192 divisors, whose sum is σ = 934790492160. Its totient is φ = 86861174400.

The previous prime is 354117793709. The next prime is 354117793781. The reversal of 354117793722 is 227397711453.

354117793722 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×354117793722² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19298272 + ... + 19316612.

It is an arithmetic number, because the mean of its divisors is an integer number (4868700480).

Almost surely, 2^354117793722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354117793722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467395246080).

354117793722 is an abundant number, since it is smaller than the sum of its proper divisors (580672698438).

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

354117793722 is a wasteful number, since it uses less digits than its factorization.

354117793722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489 (or 18466 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The spelling of 354117793722 in words is "three hundred fifty-four billion, one hundred seventeen million, seven hundred ninety-three thousand, seven hundred twenty-two".