354045345140880 has 60 divisors (see below), whose sum is σ = 1189002284100540. Its totient is φ = 94412092037376.

The previous prime is 354045345140873. The next prime is 354045345140899. The reversal of 354045345140880 is 88041543540453.

354045345140880 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 45 + 3 + 4 + 514 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46014624094464 + 308030721046416 = 6783408^2 + 17550804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245864822295 + ... + 245864823734.

It is an arithmetic number, because the mean of its divisors is an integer number (19816704735009).

Almost surely, 2^{354045345140880} is an apocalyptic number.

354045345140880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354045345140880 is an abundant number, since it is smaller than the sum of its proper divisors (834956938959660).

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

354045345140880 is a wasteful number, since it uses less digits than its factorization.

354045345140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491729646048 (or 491729646039 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 354045345140880 in words is "three hundred fifty-four trillion, forty-five billion, three hundred forty-five million, one hundred forty thousand, eight hundred eighty".