1849774084096 has 117 divisors (see below), whose sum is σ = 3760492613241. Its totient is φ = 909784891392.

The previous prime is 1849774084091. The next prime is 1849774084121. The reversal of 1849774084096 is 6904804779481.

The square root of 1849774084096 is 1360064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 121706090496 + 1728067993600 = 348864^2 + 1314560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1849774084091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6876483450 + ... + 6876483718.

Almost surely, 2^{1849774084096} is an apocalyptic number.

1849774084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1849774084096 is the 1360064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1849774084096

1849774084096 is an abundant number, since it is smaller than the sum of its proper divisors (1910718529145).

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

1849774084096 is an frugal number, since it uses more digits than its factorization.

1849774084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 67.

The spelling of 1849774084096 in words is "one trillion, eight hundred forty-nine billion, seven hundred seventy-four million, eighty-four thousand, ninety-six".