354002671736064 has 864 divisors, whose sum is σ = 1197994802135040. Its totient is φ = 99558977126400.

The previous prime is 354002671736039. The next prime is 354002671736071. The reversal of 354002671736064 is 460637176200453.

354002671736064 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 0 + 26 + 7 + 1 + 7 + 3 + 606 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354002671736064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5839381657 + ... + 5839442279.

Almost surely, 2^{354002671736064} 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 354002671736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598997401067520).

354002671736064 is an abundant number, since it is smaller than the sum of its proper divisors (843992130398976).

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

354002671736064 is a wasteful number, since it uses less digits than its factorization.

354002671736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61039 (or 61022 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 354002671736064 in words is "three hundred fifty-four trillion, two billion, six hundred seventy-one million, seven hundred thirty-six thousand, sixty-four".