353171345472 has 672 divisors, whose sum is σ = 1164907560960. Its totient is φ = 101362544640.

The previous prime is 353171345411. The next prime is 353171345491. The reversal of 353171345472 is 274543171353.

353171345472 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 71 + 34 + 547 + 2 = 666.

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, 2041452778 + ... + 2041452950.

Almost surely, 2^353171345472 is an apocalyptic number.

353171345472 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 353171345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582453780480).

353171345472 is an abundant number, since it is smaller than the sum of its proper divisors (811736215488).

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

353171345472 is a wasteful number, since it uses less digits than its factorization.

353171345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 353171345472 in words is "three hundred fifty-three billion, one hundred seventy-one million, three hundred forty-five thousand, four hundred seventy-two".