15813748234368 has 768 divisors, whose sum is σ = 54050182018560. Its totient is φ = 4344301486080.

The previous prime is 15813748234309. The next prime is 15813748234381. The reversal of 15813748234368 is 86343284731851.

It is a happy number.

15813748234368 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 37 + 4 + 8 + 234 + 368 = 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, 7934644380 + ... + 7934646372.

It is an arithmetic number, because the mean of its divisors is an integer number (70377841170).

Almost surely, 2^{15813748234368} is an apocalyptic number.

15813748234368 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 15813748234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025091009280).

15813748234368 is an abundant number, since it is smaller than the sum of its proper divisors (38236433784192).

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

15813748234368 is a wasteful number, since it uses less digits than its factorization.

15813748234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2382 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 15813748234368 in words is "fifteen trillion, eight hundred thirteen billion, seven hundred forty-eight million, two hundred thirty-four thousand, three hundred sixty-eight".