981610141932 has 288 divisors, whose sum is σ = 2944264028160. Its totient is φ = 269908692480.

The previous prime is 981610141927. The next prime is 981610141957. The reversal of 981610141932 is 239141016189.

981610141932 is a `hidden beast` number, since 9 + 8 + 1 + 610 + 14 + 19 + 3 + 2 = 666.

It is a super-2 number, since 2×981610141932² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 460632507 + ... + 460634637.

Almost surely, 2^981610141932 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 981610141932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472132014080).

981610141932 is an abundant number, since it is smaller than the sum of its proper divisors (1962653886228).

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

981610141932 is a wasteful number, since it uses less digits than its factorization.

981610141932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 981610141932 in words is "nine hundred eighty-one billion, six hundred ten million, one hundred forty-one thousand, nine hundred thirty-two".