12933251460435 has 32 divisors (see below), whose sum is σ = 20885182610688. Its totient is φ = 6833912492160.

The previous prime is 12933251460427. The next prime is 12933251460443. The reversal of 12933251460435 is 53406415233921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12933251460427) and next prime (12933251460443).

It is not a de Polignac number, because 12933251460435 - 2³ = 12933251460427 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4163977 + ... + 6573066.

It is an arithmetic number, because the mean of its divisors is an integer number (652661956584).

Almost surely, 2^{12933251460435} is an apocalyptic number.

12933251460435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12933251460435 is a deficient number, since it is larger than the sum of its proper divisors (7951931150253).

12933251460435 is a wasteful number, since it uses less digits than its factorization.

12933251460435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737795.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 12933251460435 in words is "twelve trillion, nine hundred thirty-three billion, two hundred fifty-one million, four hundred sixty thousand, four hundred thirty-five".