31461455416413 has 64 divisors (see below), whose sum is σ = 49774341261312. Its totient is φ = 17480731150080.

The previous prime is 31461455416411. The next prime is 31461455416421.

It is a happy number.

31461455416413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31461455416413 - 2¹ = 31461455416411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31461455416411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6478906 + ... + 10242027.

It is an arithmetic number, because the mean of its divisors is an integer number (777724082208).

Almost surely, 2^{31461455416413} is an apocalyptic number.

31461455416413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31461455416413 is a deficient number, since it is larger than the sum of its proper divisors (18312885844899).

31461455416413 is a wasteful number, since it uses less digits than its factorization.

31461455416413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721074.

The product of its digits is 2073600, while the sum is 48.

The spelling of 31461455416413 in words is "thirty-one trillion, four hundred sixty-one billion, four hundred fifty-five million, four hundred sixteen thousand, four hundred thirteen".