1981320034176 has 1024 divisors, whose sum is σ = 7174324224000. Its totient is φ = 526075748352.

The previous prime is 1981320034157. The next prime is 1981320034217. The reversal of 1981320034176 is 6714300231891.

1981320034176 is a `hidden beast` number, since 1 + 98 + 13 + 200 + 341 + 7 + 6 = 666.

It is a super-3 number, since 3×1981320034176³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6250220770 + ... + 6250221086.

It is an arithmetic number, because the mean of its divisors is an integer number (7006176000).

Almost surely, 2^{1981320034176} is an apocalyptic number.

1981320034176 is a gapful number since it is divisible by the number (16) 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 1981320034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587162112000).

1981320034176 is an abundant number, since it is smaller than the sum of its proper divisors (5193004189824).

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

1981320034176 is a wasteful number, since it uses less digits than its factorization.

1981320034176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1981320034176 in words is "one trillion, nine hundred eighty-one billion, three hundred twenty million, thirty-four thousand, one hundred seventy-six".