465752667074336 has 48 divisors (see below), whose sum is σ = 941854433813496. Its totient is φ = 226553164056576.

The previous prime is 465752667074263. The next prime is 465752667074351. The reversal of 465752667074336 is 633470766257564.

It can be written as a sum of positive squares in 4 ways, for example, as 431177749632400 + 34574917441936 = 20764820^2 + 5880044^2 .

It is a super-3 number, since 3×465752667074336³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 465752667074336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16171661 + ... + 34540236.

Almost surely, 2^{465752667074336} is an apocalyptic number.

It is an amenable number.

465752667074336 is an abundant number, since it is smaller than the sum of its proper divisors (476101766739160).

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

465752667074336 is a wasteful number, since it uses less digits than its factorization.

465752667074336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50719701 (or 50719693 counting only the distinct ones).

The product of its (nonzero) digits is 3200601600, while the sum is 71.

The spelling of 465752667074336 in words is "four hundred sixty-five trillion, seven hundred fifty-two billion, six hundred sixty-seven million, seventy-four thousand, three hundred thirty-six".