350554374453672 has 512 divisors, whose sum is σ = 1045763957145600. Its totient is φ = 108534220185600.

The previous prime is 350554374453659. The next prime is 350554374453697. The reversal of 350554374453672 is 276354473455053.

It is a happy number.

350554374453672 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 5 + 43 + 74 + 453 + 6 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82658421472 + ... + 82658425712.

It is an arithmetic number, because the mean of its divisors is an integer number (2042507728800).

Almost surely, 2^{350554374453672} 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 350554374453672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522881978572800).

350554374453672 is an abundant number, since it is smaller than the sum of its proper divisors (695209582691928).

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

350554374453672 is a wasteful number, since it uses less digits than its factorization.

350554374453672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 63.

The spelling of 350554374453672 in words is "three hundred fifty trillion, five hundred fifty-four billion, three hundred seventy-four million, four hundred fifty-three thousand, six hundred seventy-two".