1868955769296 has 800 divisors, whose sum is σ = 7056268369920. Its totient is φ = 463478630400.

The previous prime is 1868955769283. The next prime is 1868955769297. The reversal of 1868955769296 is 6929675598681.

1868955769296 is a `hidden beast` number, since 18 + 6 + 8 + 9 + 5 + 576 + 9 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868955769297) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192294325 + ... + 192304043.

Almost surely, 2^{1868955769296} is an apocalyptic number.

1868955769296 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 1868955769296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528134184960).

1868955769296 is an abundant number, since it is smaller than the sum of its proper divisors (5187312600624).

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

1868955769296 is a wasteful number, since it uses less digits than its factorization.

1868955769296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9830 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 81.

The spelling of 1868955769296 in words is "one trillion, eight hundred sixty-eight billion, nine hundred fifty-five million, seven hundred sixty-nine thousand, two hundred ninety-six".