354772124016 has 80 divisors (see below), whose sum is σ = 938010796800. Its totient is φ = 115482286080.

The previous prime is 354772123963. The next prime is 354772124039. The reversal of 354772124016 is 610421277453.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11193760 + ... + 11225408.

It is an arithmetic number, because the mean of its divisors is an integer number (11725134960).

Almost surely, 2^354772124016 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 354772124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469005398400).

354772124016 is an abundant number, since it is smaller than the sum of its proper divisors (583238672784).

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

354772124016 is a wasteful number, since it uses less digits than its factorization.

354772124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37134 (or 37128 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 354772124016 in words is "three hundred fifty-four billion, seven hundred seventy-two million, one hundred twenty-four thousand, sixteen".