1842109267968 has 540 divisors, whose sum is σ = 5865958039032. Its totient is φ = 577555660800.

The previous prime is 1842109267939. The next prime is 1842109268009. The reversal of 1842109267968 is 8697629012481.

1842109267968 is a `hidden beast` number, since 1 + 8 + 421 + 0 + 92 + 67 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1150598368 + ... + 1150599968.

Almost surely, 2^{1842109267968} is an apocalyptic number.

1842109267968 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 1842109267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932979019516).

1842109267968 is an abundant number, since it is smaller than the sum of its proper divisors (4023848771064).

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

1842109267968 is an frugal number, since it uses more digits than its factorization.

1842109267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1842109267968 in words is "one trillion, eight hundred forty-two billion, one hundred nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".