13048187158944 has 576 divisors, whose sum is σ = 46661431017600. Its totient is φ = 3527235403776.

The previous prime is 13048187158901. The next prime is 13048187158961. The reversal of 13048187158944 is 44985178184031.

13048187158944 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 8 + 1 + 8 + 7 + 1 + 589 + 44 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 641083872 + ... + 641104224.

It is an arithmetic number, because the mean of its divisors is an integer number (81009428850).

Almost surely, 2^{13048187158944} is an apocalyptic number.

13048187158944 is a gapful number since it is divisible by the number (14) 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 13048187158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23330715508800).

13048187158944 is an abundant number, since it is smaller than the sum of its proper divisors (33613243858656).

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

13048187158944 is a wasteful number, since it uses less digits than its factorization.

13048187158944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202 (or 21181 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 13048187158944 in words is "thirteen trillion, forty-eight billion, one hundred eighty-seven million, one hundred fifty-eight thousand, nine hundred forty-four".