1896109137216 has 336 divisors, whose sum is σ = 6309181801728. Its totient is φ = 533230387200.

The previous prime is 1896109137203. The next prime is 1896109137239. The reversal of 1896109137216 is 6127319016981.

1896109137216 is a `hidden beast` number, since 1 + 8 + 9 + 610 + 9 + 1 + 3 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183495186 + ... + 183505518.

Almost surely, 2^{1896109137216} is an apocalyptic number.

1896109137216 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 1896109137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154590900864).

1896109137216 is an abundant number, since it is smaller than the sum of its proper divisors (4413072664512).

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

1896109137216 is a wasteful number, since it uses less digits than its factorization.

1896109137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1896109137216 in words is "one trillion, eight hundred ninety-six billion, one hundred nine million, one hundred thirty-seven thousand, two hundred sixteen".