354998841120 has 1728 divisors, whose sum is σ = 1616232683520. Its totient is φ = 69341184000.

The previous prime is 354998841077. The next prime is 354998841167. The reversal of 354998841120 is 21148899453.

It is a happy number.

354998841120 is a `hidden beast` number, since 3 + 549 + 9 + 8 + 84 + 1 + 12 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1550213166 + ... + 1550213394.

It is an arithmetic number, because the mean of its divisors is an integer number (935319840).

Almost surely, 2^354998841120 is an apocalyptic number.

354998841120 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 354998841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808116341760).

354998841120 is an abundant number, since it is smaller than the sum of its proper divisors (1261233842400).

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

354998841120 is a wasteful number, since it uses less digits than its factorization.

354998841120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 354998841120 in words is "three hundred fifty-four billion, nine hundred ninety-eight million, eight hundred forty-one thousand, one hundred twenty".