15068493216 has 144 divisors (see below), whose sum is σ = 49155095808. Its totient is φ = 4289241600.

The previous prime is 15068493199. The next prime is 15068493221. The reversal of 15068493216 is 61239486051.

15068493216 is a `hidden beast` number, since 150 + 6 + 8 + 493 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×15068493216³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532546 + ... + 560126.

It is an arithmetic number, because the mean of its divisors is an integer number (341354832).

Almost surely, 2^15068493216 is an apocalyptic number.

15068493216 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 15068493216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577547904).

15068493216 is an abundant number, since it is smaller than the sum of its proper divisors (34086602592).

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

15068493216 is a wasteful number, since it uses less digits than its factorization.

15068493216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875 (or 27864 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 15068493216 in words is "fifteen billion, sixty-eight million, four hundred ninety-three thousand, two hundred sixteen".