15819450456864 has 144 divisors (see below), whose sum is σ = 43405493846400. Its totient is φ = 5038821236736.

The previous prime is 15819450456863. The next prime is 15819450456869. The reversal of 15819450456864 is 46865405491851.

It is a junction number, because it is equal to n+sod(n) for n = 15819450456795 and 15819450456804.

It is not an unprimeable number, because it can be changed into a prime (15819450456863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25892697 + ... + 26496615.

It is an arithmetic number, because the mean of its divisors is an integer number (301427040600).

Almost surely, 2^{15819450456864} 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 15819450456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702746923200).

15819450456864 is an abundant number, since it is smaller than the sum of its proper divisors (27586043389536).

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

15819450456864 is an equidigital number, since it uses as much as digits as its factorization.

15819450456864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604155 (or 604050 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 66.

The spelling of 15819450456864 in words is "fifteen trillion, eight hundred nineteen billion, four hundred fifty million, four hundred fifty-six thousand, eight hundred sixty-four".