354913920000 has 1760 divisors, whose sum is σ = 1473368371200. Its totient is φ = 83939328000.

The previous prime is 354913919929. The next prime is 354913920001. The reversal of 354913920000 is 29319453.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354913920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7551359977 + ... + 7551360023.

It is an arithmetic number, because the mean of its divisors is an integer number (837141120).

Almost surely, 2^354913920000 is an apocalyptic number.

354913920000 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 354913920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736684185600).

354913920000 is an abundant number, since it is smaller than the sum of its proper divisors (1118454451200).

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

354913920000 is a wasteful number, since it uses less digits than its factorization.

354913920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 354913920000 in words is "three hundred fifty-four billion, nine hundred thirteen million, nine hundred twenty thousand".