354868164640 has 192 divisors, whose sum is σ = 968967111168. Its totient is φ = 121380044800.

The previous prime is 354868164611. The next prime is 354868164641. The reversal of 354868164640 is 46461868453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (354868164641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83085705 + ... + 83089975.

It is an arithmetic number, because the mean of its divisors is an integer number (5046703704).

Almost surely, 2^354868164640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354868164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484483555584).

354868164640 is an abundant number, since it is smaller than the sum of its proper divisors (614098946528).

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

354868164640 is a wasteful number, since it uses less digits than its factorization.

354868164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 354868164640 in words is "three hundred fifty-four billion, eight hundred sixty-eight million, one hundred sixty-four thousand, six hundred forty".