13092873948 has 288 divisors, whose sum is σ = 42914027520. Its totient is φ = 3265920000.

The previous prime is 13092873931. The next prime is 13092873953. The reversal of 13092873948 is 84937829031.

13092873948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13092873894 and 13092873903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21784848 + ... + 21785448.

It is an arithmetic number, because the mean of its divisors is an integer number (149007040).

Almost surely, 2^13092873948 is an apocalyptic number.

13092873948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13092873948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457013760).

13092873948 is an abundant number, since it is smaller than the sum of its proper divisors (29821153572).

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

13092873948 is a wasteful number, since it uses less digits than its factorization.

13092873948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13092873948 in words is "thirteen billion, ninety-two million, eight hundred seventy-three thousand, nine hundred forty-eight".