13754435952465 has 480 divisors, whose sum is σ = 28431016796160. Its totient is φ = 6345583276032.

The previous prime is 13754435952463. The next prime is 13754435952497. The reversal of 13754435952465 is 56425953445731.

13754435952465 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 4 + 43 + 5 + 9 + 524 + 65 = 666.

It is not a de Polignac number, because 13754435952465 - 2¹ = 13754435952463 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13754435952463) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17793577819 + ... + 17793578591.

It is an arithmetic number, because the mean of its divisors is an integer number (59231284992).

Almost surely, 2^{13754435952465} is an apocalyptic number.

13754435952465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13754435952465 is an abundant number, since it is smaller than the sum of its proper divisors (14676580843695).

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

13754435952465 is a wasteful number, since it uses less digits than its factorization.

13754435952465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1033 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 13754435952465 in words is "thirteen trillion, seven hundred fifty-four billion, four hundred thirty-five million, nine hundred fifty-two thousand, four hundred sixty-five".