1364114631 has 32 divisors (see below), whose sum is σ = 2043813888. Its totient is φ = 802016640.

The previous prime is 1364114627. The next prime is 1364114651.

1364114631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1364114631 - 2² = 1364114627 is a prime.

It is a super-2 number, since 2×1364114631² = 3721617453016532322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364114621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466185 + ... + 469101.

It is an arithmetic number, because the mean of its divisors is an integer number (63869184).

Almost surely, 2^1364114631 is an apocalyptic number.

1364114631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1364114631 is a deficient number, since it is larger than the sum of its proper divisors (679699257).

1364114631 is a wasteful number, since it uses less digits than its factorization.

1364114631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351.

The product of its digits is 5184, while the sum is 30.

The square root of 1364114631 is about 36933.9224968050. The cubic root of 1364114631 is about 1109.0478621857.

The spelling of 1364114631 in words is "one billion, three hundred sixty-four million, one hundred fourteen thousand, six hundred thirty-one".