354460673922048 has 352 divisors, whose sum is σ = 1083723465784320. Its totient is φ = 114329509724160.

The previous prime is 354460673921941. The next prime is 354460673922067. The reversal of 354460673922048 is 840229376064453.

It is a happy number.

354460673922048 is a `hidden beast` number, since 3 + 5 + 4 + 460 + 67 + 3 + 92 + 20 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10639016686 + ... + 10639050002.

Almost surely, 2^{354460673922048} 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 354460673922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541861732892160).

354460673922048 is an abundant number, since it is smaller than the sum of its proper divisors (729262791862272).

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

354460673922048 is a wasteful number, since it uses less digits than its factorization.

354460673922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45790 (or 45766 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 354460673922048 in words is "three hundred fifty-four trillion, four hundred sixty billion, six hundred seventy-three million, nine hundred twenty-two thousand, forty-eight".