353161541160 has 128 divisors (see below), whose sum is σ = 1180016208000. Its totient is φ = 93951525888.

The previous prime is 353161541111. The next prime is 353161541269. The reversal of 353161541160 is 61145161353.

353161541160 is a `hidden beast` number, since 3 + 5 + 31 + 615 + 4 + 1 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62304 + ... + 842736.

It is an arithmetic number, because the mean of its divisors is an integer number (9218876625).

Almost surely, 2^353161541160 is an apocalyptic number.

353161541160 is a gapful number since it is divisible by the number (30) 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 353161541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590008104000).

353161541160 is an abundant number, since it is smaller than the sum of its proper divisors (826854666840).

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

353161541160 is a wasteful number, since it uses less digits than its factorization.

353161541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780872 (or 780862 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 353161541160 in words is "three hundred fifty-three billion, one hundred sixty-one million, five hundred forty-one thousand, one hundred sixty".