981136281600 has 1560 divisors, whose sum is σ = 3922896626880. Its totient is φ = 241745264640.

The previous prime is 981136281599. The next prime is 981136281641. The reversal of 981136281600 is 6182631189.

981136281600 is a `hidden beast` number, since 9 + 8 + 1 + 1 + 3 + 628 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7058534331 + ... + 7058534469.

Almost surely, 2^981136281600 is an apocalyptic number.

981136281600 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 981136281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961448313440).

981136281600 is an abundant number, since it is smaller than the sum of its proper divisors (2941760345280).

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

981136281600 is a wasteful number, since it uses less digits than its factorization.

981136281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 981136281600 in words is "nine hundred eighty-one billion, one hundred thirty-six million, two hundred eighty-one thousand, six hundred".