15951083456 has 168 divisors, whose sum is σ = 40737848928. Its totient is φ = 6062284800.

The previous prime is 15951083453. The next prime is 15951083479. The reversal of 15951083456 is 65438015951.

15951083456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15951083456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15951083453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2218940 + ... + 2226116.

It is an arithmetic number, because the mean of its divisors is an integer number (242487196).

Almost surely, 2^15951083456 is an apocalyptic number.

15951083456 is a gapful number since it is divisible by the number (16) 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 15951083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20368924464).

15951083456 is an abundant number, since it is smaller than the sum of its proper divisors (24786765472).

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

15951083456 is a wasteful number, since it uses less digits than its factorization.

15951083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 47.

The spelling of 15951083456 in words is "fifteen billion, nine hundred fifty-one million, eighty-three thousand, four hundred fifty-six".