15916014502144 has 243 divisors, whose sum is σ = 34249964148183. Its totient is φ = 7380999622656.

The previous prime is 15916014502103. The next prime is 15916014502159. The reversal of 15916014502144 is 44120541061951.

The square root of 15916014502144 is 3989488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11360351142144 + 4555663360000 = 3370512^2 + 2134400^2 .

It is a super-3 number, since 3×15916014502144³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15916014502144.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 54320868462 + ... + 54320868754.

Almost surely, 2^{15916014502144} is an apocalyptic number.

15916014502144 is the 3989488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15916014502144

15916014502144 is an abundant number, since it is smaller than the sum of its proper divisors (18333949646039).

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

15916014502144 is an frugal number, since it uses more digits than its factorization.

15916014502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 15916014502144 in words is "fifteen trillion, nine hundred sixteen billion, fourteen million, five hundred two thousand, one hundred forty-four".