354832930488960 has 6144 divisors, whose sum is σ = 1741837934592000. Its totient is φ = 66520822579200.

The previous prime is 354832930488833. The next prime is 354832930488961. The reversal of 354832930488960 is 69884039238453.

It is a happy number.

354832930488960 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 3 + 29 + 30 + 488 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (354832930488961) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 1380672881152 + ... + 1380672881408.

It is an arithmetic number, because the mean of its divisors is an integer number (283502268000).

Almost surely, 2^{354832930488960} is an apocalyptic number.

354832930488960 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 354832930488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870918967296000).

354832930488960 is an abundant number, since it is smaller than the sum of its proper divisors (1387005004103040).

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

354832930488960 is a wasteful number, since it uses less digits than its factorization.

354832930488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 354832930488960 in words is "three hundred fifty-four trillion, eight hundred thirty-two billion, nine hundred thirty million, four hundred eighty-eight thousand, nine hundred sixty".