1834945968816 has 400 divisors, whose sum is σ = 5477538367488. Its totient is φ = 592820467200.

The previous prime is 1834945968803. The next prime is 1834945968827. The reversal of 1834945968816 is 6188695494381.

1834945968816 is a `hidden beast` number, since 1 + 8 + 3 + 494 + 59 + 6 + 8 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1688082225 + ... + 1688083311.

Almost surely, 2^{1834945968816} is an apocalyptic number.

1834945968816 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 1834945968816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738769183744).

1834945968816 is an abundant number, since it is smaller than the sum of its proper divisors (3642592398672).

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

1834945968816 is a wasteful number, since it uses less digits than its factorization.

1834945968816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1447 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 1834945968816 in words is "one trillion, eight hundred thirty-four billion, nine hundred forty-five million, nine hundred sixty-eight thousand, eight hundred sixteen".