353373820128000 has 6912 divisors, whose sum is σ = 1701831349370880. Its totient is φ = 70519984128000.

The previous prime is 353373820127989. The next prime is 353373820128013. The reversal of 353373820128000 is 821028373353.

353373820128000 is a `hidden beast` number, since 3 + 5 + 337 + 38 + 2 + 0 + 1 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1556712863887 + ... + 1556712864113.

It is an arithmetic number, because the mean of its divisors is an integer number (246214026240).

Almost surely, 2^{353373820128000} is an apocalyptic number.

353373820128000 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 353373820128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850915674685440).

353373820128000 is an abundant number, since it is smaller than the sum of its proper divisors (1348457529242880).

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

353373820128000 is a wasteful number, since it uses less digits than its factorization.

353373820128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 353373820128000 in words is "three hundred fifty-three trillion, three hundred seventy-three billion, eight hundred twenty million, one hundred twenty-eight thousand".