3456601462431 has 48 divisors (see below), whose sum is σ = 5493407381280. Its totient is φ = 2081555435520.

The previous prime is 3456601462427. The next prime is 3456601462451. The reversal of 3456601462431 is 1342641066543.

3456601462431 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 6 + 0 + 14 + 624 + 3 + 1 = 666.

It is not a de Polignac number, because 3456601462431 - 2² = 3456601462427 is a prime.

It is a super-2 number, since 2×3456601462431² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456601462451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701025 + ... + 2721146.

It is an arithmetic number, because the mean of its divisors is an integer number (114445987110).

Almost surely, 2^{3456601462431} is an apocalyptic number.

3456601462431 is a deficient number, since it is larger than the sum of its proper divisors (2036805918849).

3456601462431 is a wasteful number, since it uses less digits than its factorization.

3456601462431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422376 (or 3422373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3456601462431 in words is "three trillion, four hundred fifty-six billion, six hundred one million, four hundred sixty-two thousand, four hundred thirty-one".