354859115520 has 1056 divisors, whose sum is σ = 1432713968640. Its totient is φ = 73380003840.

The previous prime is 354859115459. The next prime is 354859115521. The reversal of 354859115520 is 25511958453.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354859115520.

It is not an unprimeable number, because it can be changed into a prime (354859115521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072081755 + ... + 1072082085.

Almost surely, 2^354859115520 is an apocalyptic number.

354859115520 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 354859115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716356984320).

354859115520 is an abundant number, since it is smaller than the sum of its proper divisors (1077854853120).

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

354859115520 is a wasteful number, since it uses less digits than its factorization.

354859115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 354859115520 in words is "three hundred fifty-four billion, eight hundred fifty-nine million, one hundred fifteen thousand, five hundred twenty".