13758862712742 has 96 divisors (see below), whose sum is σ = 34484414694912. Its totient is φ = 3883248358272.

The previous prime is 13758862712723. The next prime is 13758862712743. The reversal of 13758862712742 is 24721726885731.

13758862712742 is a `hidden beast` number, since 1 + 3 + 7 + 588 + 6 + 2 + 7 + 1 + 2 + 7 + 42 = 666.

It is a super-4 number, since 4×13758862712742⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13758862712742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758862712743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86690743 + ... + 86849309.

It is an arithmetic number, because the mean of its divisors is an integer number (359212653072).

Almost surely, 2^{13758862712742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13758862712742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242207347456).

13758862712742 is an abundant number, since it is smaller than the sum of its proper divisors (20725551982170).

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

13758862712742 is a wasteful number, since it uses less digits than its factorization.

13758862712742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166962 (or 166959 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 13758862712742 in words is "thirteen trillion, seven hundred fifty-eight billion, eight hundred sixty-two million, seven hundred twelve thousand, seven hundred forty-two".