353445671797920 has 1152 divisors, whose sum is σ = 1357587009676800. Its totient is φ = 86905078640640.

The previous prime is 353445671797901. The next prime is 353445671797943. The reversal of 353445671797920 is 29797176544353.

353445671797920 is a `hidden beast` number, since 3 + 5 + 3 + 44 + 567 + 17 + 9 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63216894325 + ... + 63216899915.

It is an arithmetic number, because the mean of its divisors is an integer number (1178460945900).

Almost surely, 2^{353445671797920} is an apocalyptic number.

353445671797920 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 353445671797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678793504838400).

353445671797920 is an abundant number, since it is smaller than the sum of its proper divisors (1004141337878880).

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

353445671797920 is a wasteful number, since it uses less digits than its factorization.

353445671797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 1200225600, while the sum is 72.

The spelling of 353445671797920 in words is "three hundred fifty-three trillion, four hundred forty-five billion, six hundred seventy-one million, seven hundred ninety-seven thousand, nine hundred twenty".