15394077216 has 336 divisors, whose sum is σ = 53624083968. Its totient is φ = 4255027200.

The previous prime is 15394077187. The next prime is 15394077241. The reversal of 15394077216 is 61277049351.

15394077216 is a `hidden beast` number, since 1 + 539 + 40 + 7 + 72 + 1 + 6 = 666.

15394077216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×15394077216² (a number of 21 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 5060656 + ... + 5063696.

It is an arithmetic number, because the mean of its divisors is an integer number (159595488).

Almost surely, 2^15394077216 is an apocalyptic number.

15394077216 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 15394077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812041984).

15394077216 is an abundant number, since it is smaller than the sum of its proper divisors (38230006752).

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

15394077216 is an equidigital number, since it uses as much as digits as its factorization.

15394077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 15394077216 in words is "fifteen billion, three hundred ninety-four million, seventy-seven thousand, two hundred sixteen".