1981192169088 has 256 divisors, whose sum is σ = 6415731619200. Its totient is φ = 596888985600.

The previous prime is 1981192169081. The next prime is 1981192169107. The reversal of 1981192169088 is 8809612911891.

It is a super-2 number, since 2×1981192169088² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1981192169081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6426148 + ... + 6727388.

Almost surely, 2^{1981192169088} is an apocalyptic number.

1981192169088 is a gapful number since it is divisible by the number (18) 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 1981192169088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207865809600).

1981192169088 is an abundant number, since it is smaller than the sum of its proper divisors (4434539450112).

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

1981192169088 is a wasteful number, since it uses less digits than its factorization.

1981192169088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301448 (or 301430 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 63.

The spelling of 1981192169088 in words is "one trillion, nine hundred eighty-one billion, one hundred ninety-two million, one hundred sixty-nine thousand, eighty-eight".