354375599143104 has 1344 divisors, whose sum is σ = 1316927997665280. Its totient is φ = 88445921034240.

The previous prime is 354375599143087. The next prime is 354375599143127. The reversal of 354375599143104 is 401341995573453.

354375599143104 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 7 + 5 + 599 + 1 + 4 + 31 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135828131752 + ... + 135828134360.

It is an arithmetic number, because the mean of its divisors is an integer number (979857141120).

Almost surely, 2^{354375599143104} 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 354375599143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658463998832640).

354375599143104 is an abundant number, since it is smaller than the sum of its proper divisors (962552398522176).

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

354375599143104 is a wasteful number, since it uses less digits than its factorization.

354375599143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 354375599143104 in words is "three hundred fifty-four trillion, three hundred seventy-five billion, five hundred ninety-nine million, one hundred forty-three thousand, one hundred four".