354846044160 has 520 divisors, whose sum is σ = 1277581723440. Its totient is φ = 94213767168.

The previous prime is 354846044143. The next prime is 354846044219. The reversal of 354846044160 is 61440648453.

354846044160 is a `hidden beast` number, since 3 + 5 + 484 + 6 + 0 + 4 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 678481659 + ... + 678482181.

Almost surely, 2^354846044160 is an apocalyptic number.

354846044160 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 354846044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638790861720).

354846044160 is an abundant number, since it is smaller than the sum of its proper divisors (922735679280).

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

354846044160 is an equidigital number, since it uses as much as digits as its factorization.

354846044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 354846044160 in words is "three hundred fifty-four billion, eight hundred forty-six million, forty-four thousand, one hundred sixty".