981437233680 has 240 divisors, whose sum is σ = 3410926668864. Its totient is φ = 252698434560.

The previous prime is 981437233663. The next prime is 981437233681. The reversal of 981437233680 is 86332734189.

981437233680 is a `hidden beast` number, since 9 + 81 + 437 + 23 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (981437233681) 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, 3349227 + ... + 3630453.

Almost surely, 2^981437233680 is an apocalyptic number.

981437233680 is a gapful number since it is divisible by the number (90) 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 981437233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705463334432).

981437233680 is an abundant number, since it is smaller than the sum of its proper divisors (2429489435184).

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

981437233680 is a wasteful number, since it uses less digits than its factorization.

981437233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281414 (or 281405 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 981437233680 in words is "nine hundred eighty-one billion, four hundred thirty-seven million, two hundred thirty-three thousand, six hundred eighty".