13190114251248 has 360 divisors, whose sum is σ = 38285991508464. Its totient is φ = 3909058560000.

The previous prime is 13190114251247. The next prime is 13190114251261. The reversal of 13190114251248 is 84215241109131.

It is a super-2 number, since 2×13190114251248² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13190114251247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20577401008 + ... + 20577401648.

Almost surely, 2^{13190114251248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13190114251248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19142995754232).

13190114251248 is an abundant number, since it is smaller than the sum of its proper divisors (25095877257216).

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

13190114251248 is a wasteful number, since it uses less digits than its factorization.

13190114251248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 13190114251248 in words is "thirteen trillion, one hundred ninety billion, one hundred fourteen million, two hundred fifty-one thousand, two hundred forty-eight".