354586112160 has 384 divisors, whose sum is σ = 1309444351488. Its totient is φ = 78962688000.

The previous prime is 354586112141. The next prime is 354586112171. The reversal of 354586112160 is 61211685453.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140651700 + ... + 140654220.

It is an arithmetic number, because the mean of its divisors is an integer number (3410011332).

Almost surely, 2^354586112160 is an apocalyptic number.

354586112160 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 354586112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654722175744).

354586112160 is an abundant number, since it is smaller than the sum of its proper divisors (954858239328).

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

354586112160 is a wasteful number, since it uses less digits than its factorization.

354586112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 354586112160 in words is "three hundred fifty-four billion, five hundred eighty-six million, one hundred twelve thousand, one hundred sixty".