1981933673472 has 132 divisors (see below), whose sum is σ = 5727369506040. Its totient is φ = 660115955712.

The previous prime is 1981933673449. The next prime is 1981933673479. The reversal of 1981933673472 is 2743763391891.

It is a happy number.

1981933673472 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 93 + 3 + 6 + 73 + 472 = 666.

It is a super-2 number, since 2×1981933673472² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981933673479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11517538 + ... + 11688350.

Almost surely, 2^{1981933673472} is an apocalyptic number.

1981933673472 is a gapful number since it is divisible by the number (12) 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 1981933673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863684753020).

1981933673472 is an abundant number, since it is smaller than the sum of its proper divisors (3745435832568).

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

1981933673472 is a wasteful number, since it uses less digits than its factorization.

1981933673472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172098 (or 172077 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 1981933673472 in words is "one trillion, nine hundred eighty-one billion, nine hundred thirty-three million, six hundred seventy-three thousand, four hundred seventy-two".