1992080931456 has 512 divisors, whose sum is σ = 6721698816000. Its totient is φ = 507689349120.

The previous prime is 1992080931433. The next prime is 1992080931481. The reversal of 1992080931456 is 6541390802991.

It is a junction number, because it is equal to n+sod(n) for n = 1992080931396 and 1992080931405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582271755 + ... + 1582273013.

It is an arithmetic number, because the mean of its divisors is an integer number (13128318000).

Almost surely, 2^{1992080931456} is an apocalyptic number.

1992080931456 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 1992080931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360849408000).

1992080931456 is an abundant number, since it is smaller than the sum of its proper divisors (4729617884544).

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

1992080931456 is a wasteful number, since it uses less digits than its factorization.

1992080931456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 1992080931456 in words is "one trillion, nine hundred ninety-two billion, eighty million, nine hundred thirty-one thousand, four hundred fifty-six".