981381216 has 48 divisors (see below), whose sum is σ = 2578867200. Its totient is φ = 326779008.

The previous prime is 981381187. The next prime is 981381223. The reversal of 981381216 is 612183189.

981381216 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 (48).

It is a super-2 number, since 2×981381216² = 1926218182235277312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94825 + ... + 104663.

It is an arithmetic number, because the mean of its divisors is an integer number (53726400).

Almost surely, 2^981381216 is an apocalyptic number.

981381216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

981381216 is an abundant number, since it is smaller than the sum of its proper divisors (1597485984).

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

981381216 is a wasteful number, since it uses less digits than its factorization.

981381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10883 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 981381216 is about 31327.0045807128. The cubic root of 981381216 is about 993.7548175551.

The spelling of 981381216 in words is "nine hundred eighty-one million, three hundred eighty-one thousand, two hundred sixteen".