981133057632 has 288 divisors, whose sum is σ = 3275393054976. Its totient is φ = 250411115520.

The previous prime is 981133057627. The next prime is 981133057637. The reversal of 981133057632 is 236750331189.

It is an interprime number because it is at equal distance from previous prime (981133057627) and next prime (981133057637).

It is a super-3 number, since 3×981133057632³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981133057637) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8336863 + ... + 8453729.

It is an arithmetic number, because the mean of its divisors is an integer number (11372892552).

Almost surely, 2^981133057632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981133057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637696527488).

981133057632 is an abundant number, since it is smaller than the sum of its proper divisors (2294259997344).

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

981133057632 is a wasteful number, since it uses less digits than its factorization.

981133057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116962 (or 116923 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 981133057632 in words is "nine hundred eighty-one billion, one hundred thirty-three million, fifty-seven thousand, six hundred thirty-two".