354947481600 has 720 divisors, whose sum is σ = 1291093198080. Its totient is φ = 85642444800.

The previous prime is 354947481593. The next prime is 354947481641. The reversal of 354947481600 is 6184749453.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536985270 + ... + 536985930.

Almost surely, 2^354947481600 is an apocalyptic number.

354947481600 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 354947481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645546599040).

354947481600 is an abundant number, since it is smaller than the sum of its proper divisors (936145716480).

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

354947481600 is a wasteful number, since it uses less digits than its factorization.

354947481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 354947481600 in words is "three hundred fifty-four billion, nine hundred forty-seven million, four hundred eighty-one thousand, six hundred".