13879451923506 has 192 divisors, whose sum is σ = 33408147741696. Its totient is φ = 4138259673600.

The previous prime is 13879451923481. The next prime is 13879451923529. The reversal of 13879451923506 is 60532915497831.

13879451923506 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 94 + 5 + 19 + 23 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276419455 + ... + 276469661.

It is an arithmetic number, because the mean of its divisors is an integer number (174000769488).

It is a 1-persistent number, because it is pandigital, but 2⋅13879451923506 = 27758903847012 is not.

Almost surely, 2^{13879451923506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13879451923506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704073870848).

13879451923506 is an abundant number, since it is smaller than the sum of its proper divisors (19528695818190).

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

13879451923506 is a wasteful number, since it uses less digits than its factorization.

13879451923506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50577 (or 50574 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

It can be divided in two parts, 1387945 and 1923506, that added together give a triangular number (3311451 = T₂₅₇₃).

The spelling of 13879451923506 in words is "thirteen trillion, eight hundred seventy-nine billion, four hundred fifty-one million, nine hundred twenty-three thousand, five hundred six".