15415551018168 has 256 divisors, whose sum is σ = 46606565376000. Its totient is φ = 4153772772864.

The previous prime is 15415551018079. The next prime is 15415551018193. The reversal of 15415551018168 is 86181015551451.

It is a super-2 number, since 2×15415551018168² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15415551018168.

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 63 ways as a sum of consecutive naturals, for example, 219443946 + ... + 219514182.

It is an arithmetic number, because the mean of its divisors is an integer number (182056896000).

Almost surely, 2^{15415551018168} 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 15415551018168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23303282688000).

15415551018168 is an abundant number, since it is smaller than the sum of its proper divisors (31191014357832).

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

15415551018168 is a wasteful number, since it uses less digits than its factorization.

15415551018168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71074 (or 71070 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 51.

The spelling of 15415551018168 in words is "fifteen trillion, four hundred fifteen billion, five hundred fifty-one million, eighteen thousand, one hundred sixty-eight".