13462364022345 has 216 divisors, whose sum is σ = 27616615233480. Its totient is φ = 6048253854720.

The previous prime is 13462364022343. The next prime is 13462364022347. The reversal of 13462364022345 is 54322046326431.

13462364022345 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 2 + 3 + 6 + 402 + 234 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13462364022343) and next prime (13462364022347).

It can be written as a sum of positive squares in 4 ways, for example, as 2445295297536 + 11017068724809 = 1563744^2 + 3319197^2 .

It is not a de Polignac number, because 13462364022345 - 2¹ = 13462364022343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13462364022345.

It is not an unprimeable number, because it can be changed into a prime (13462364022343) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6287884975 + ... + 6287887115.

It is an arithmetic number, because the mean of its divisors is an integer number (127854700155).

Almost surely, 2^{13462364022345} is an apocalyptic number.

13462364022345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13462364022345 is an abundant number, since it is smaller than the sum of its proper divisors (14154251211135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13462364022345 is a wasteful number, since it uses less digits than its factorization.

13462364022345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 13462364022345 in words is "thirteen trillion, four hundred sixty-two billion, three hundred sixty-four million, twenty-two thousand, three hundred forty-five".