13890357416152 has 32 divisors (see below), whose sum is σ = 30491028479520. Its totient is φ = 5807814946560.

The previous prime is 13890357416113. The next prime is 13890357416191. The reversal of 13890357416152 is 25161475309831.

It is an interprime number because it is at equal distance from previous prime (13890357416113) and next prime (13890357416191).

It is a junction number, because it is equal to n+sod(n) for n = 13890357416093 and 13890357416102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3024901323 + ... + 3024905914.

It is an arithmetic number, because the mean of its divisors is an integer number (952844639985).

It is a 1-persistent number, because it is pandigital, but 2⋅13890357416152 = 27780714832304 is not.

Almost surely, 2^{13890357416152} is an apocalyptic number.

It is an amenable number.

13890357416152 is an abundant number, since it is smaller than the sum of its proper divisors (16600671063368).

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

13890357416152 is a wasteful number, since it uses less digits than its factorization.

13890357416152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049807291 (or 6049807287 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 13890357416152 in words is "thirteen trillion, eight hundred ninety billion, three hundred fifty-seven million, four hundred sixteen thousand, one hundred fifty-two".