354748214304 has 720 divisors, whose sum is σ = 1196850761568. Its totient is φ = 103059475200.

The previous prime is 354748214287. The next prime is 354748214399. The reversal of 354748214304 is 403412847453.

354748214304 is a `hidden beast` number, since 3 + 547 + 48 + 21 + 43 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354748214304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3315403819 + ... + 3315403925.

Almost surely, 2^354748214304 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 354748214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598425380784).

354748214304 is an abundant number, since it is smaller than the sum of its proper divisors (842102547264).

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

354748214304 is a wasteful number, since it uses less digits than its factorization.

354748214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 354748214304 in words is "three hundred fifty-four billion, seven hundred forty-eight million, two hundred fourteen thousand, three hundred four".