12254605633431 has 240 divisors, whose sum is σ = 21706184308224. Its totient is φ = 6656163123456.

The previous prime is 12254605633429. The next prime is 12254605633441. The reversal of 12254605633431 is 13433650645221.

12254605633431 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 6 + 0 + 5 + 633 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 12254605633431 - 2¹ = 12254605633429 is a prime.

It is a super-4 number, since 4×12254605633431⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254605633411) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4967410860 + ... + 4967413326.

Almost surely, 2^{12254605633431} is an apocalyptic number.

12254605633431 is a deficient number, since it is larger than the sum of its proper divisors (9451578674793).

12254605633431 is an equidigital number, since it uses as much as digits as its factorization.

12254605633431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 12254605633431 in words is "twelve trillion, two hundred fifty-four billion, six hundred five million, six hundred thirty-three thousand, four hundred thirty-one".