1346656566431 has 96 divisors (see below), whose sum is σ = 1705080803328. Its totient is φ = 1055894400000.

The previous prime is 1346656566413. The next prime is 1346656566481.

1346656566431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1346656566431 - 2²² = 1346652372127 is a prime.

It is a super-2 number, since 2×1346656566431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346656566481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148126196 + ... + 148135286.

It is an arithmetic number, because the mean of its divisors is an integer number (17761258368).

Almost surely, 2^{1346656566431} is an apocalyptic number.

1346656566431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1346656566431 is a deficient number, since it is larger than the sum of its proper divisors (358424236897).

1346656566431 is a wasteful number, since it uses less digits than its factorization.

1346656566431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9274 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 56.

The spelling of 1346656566431 in words is "one trillion, three hundred forty-six billion, six hundred fifty-six million, five hundred sixty-six thousand, four hundred thirty-one".