981463849382592 has 1792 divisors, whose sum is σ = 3318933159936000. Its totient is φ = 282756560486400.

The previous prime is 981463849382591. The next prime is 981463849382593. The reversal of 981463849382592 is 295283948364189.

981463849382592 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 6 + 38 + 493 + 8 + 2 + 5 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (981463849382591) and next prime (981463849382593).

It is not an unprimeable number, because it can be changed into a prime (981463849382591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 897954115998 + ... + 897954117090.

Almost surely, 2^{981463849382592} is an apocalyptic number.

981463849382592 is a gapful number since it is divisible by the number (92) 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 981463849382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659466579968000).

981463849382592 is an abundant number, since it is smaller than the sum of its proper divisors (2337469310553408).

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

981463849382592 is a wasteful number, since it uses less digits than its factorization.

981463849382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1691 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

The spelling of 981463849382592 in words is "nine hundred eighty-one trillion, four hundred sixty-three billion, eight hundred forty-nine million, three hundred eighty-two thousand, five hundred ninety-two".