981784223562240 has 2160 divisors, whose sum is σ = 4214838887180064. Its totient is φ = 210546111283200.

The previous prime is 981784223562229. The next prime is 981784223562253. The reversal of 981784223562240 is 42265322487189.

981784223562240 is a `hidden beast` number, since 9 + 8 + 1 + 7 + 8 + 4 + 2 + 23 + 562 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 107995180095 + ... + 107995189185.

It is a 2-persistent number, because it is pandigital, and so is 2⋅981784223562240 = 1963568447124480, but 3⋅981784223562240 = 2945352670686720 is not.

Almost surely, 2^{981784223562240} is an apocalyptic number.

981784223562240 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 981784223562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107419443590032).

981784223562240 is an abundant number, since it is smaller than the sum of its proper divisors (3233054663617824).

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

981784223562240 is a wasteful number, since it uses less digits than its factorization.

981784223562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9499 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 981784223562240 in words is "nine hundred eighty-one trillion, seven hundred eighty-four billion, two hundred twenty-three million, five hundred sixty-two thousand, two hundred forty".