354577302144 has 256 divisors, whose sum is σ = 1128405600000. Its totient is φ = 108964196352.

The previous prime is 354577302119. The next prime is 354577302217. The reversal of 354577302144 is 441203775453.

It is a happy number.

354577302144 is a `hidden beast` number, since 3 + 5 + 4 + 577 + 30 + 2 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354577302144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39397357 + ... + 39406355.

It is an arithmetic number, because the mean of its divisors is an integer number (4407834375).

Almost surely, 2^354577302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354577302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564202800000).

354577302144 is an abundant number, since it is smaller than the sum of its proper divisors (773828297856).

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

354577302144 is a wasteful number, since it uses less digits than its factorization.

354577302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 354577302144 in words is "three hundred fifty-four billion, five hundred seventy-seven million, three hundred two thousand, one hundred forty-four".