354005066895392 has 96 divisors (see below), whose sum is σ = 763633245380544. Its totient is φ = 160207587532800.

The previous prime is 354005066895391. The next prime is 354005066895409. The reversal of 354005066895392 is 293598660500453.

It is a super-2 number, since 2×354005066895392² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354005066895391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377628083 + ... + 378564365.

It is an arithmetic number, because the mean of its divisors is an integer number (7954512972714).

Almost surely, 2^{354005066895392} is an apocalyptic number.

354005066895392 is a gapful number since it is divisible by the number (32) 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 354005066895392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381816622690272).

354005066895392 is an abundant number, since it is smaller than the sum of its proper divisors (409628178485152).

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

354005066895392 is a wasteful number, since it uses less digits than its factorization.

354005066895392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941002 (or 940994 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 65.

The spelling of 354005066895392 in words is "three hundred fifty-four trillion, five billion, sixty-six million, eight hundred ninety-five thousand, three hundred ninety-two".