10335661432352 has 36 divisors (see below), whose sum is σ = 21615703713450. Its totient is φ = 4863840669696.

The previous prime is 10335661432333. The next prime is 10335661432357. The reversal of 10335661432352 is 25323416653301.

10335661432352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9608536855696 + 727124576656 = 3099764^2 + 852716^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10335661432357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558795977 + ... + 558814472.

Almost surely, 2^{10335661432352} is an apocalyptic number.

It is an amenable number.

10335661432352 is an abundant number, since it is smaller than the sum of its proper divisors (11280042281098).

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

10335661432352 is a wasteful number, since it uses less digits than its factorization.

10335661432352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117610493 (or 1117610468 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 10335661432352 in words is "ten trillion, three hundred thirty-five billion, six hundred sixty-one million, four hundred thirty-two thousand, three hundred fifty-two".