1861849334016 has 729 divisors, whose sum is σ = 6502175660799. Its totient is φ = 510867302400.

The previous prime is 1861849333979. The next prime is 1861849334057. The reversal of 1861849334016 is 6104339481681.

The square root of 1861849334016 is 1364496.

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

1861849334016 is a `hidden beast` number, since 1 + 8 + 618 + 4 + 9 + 3 + 3 + 4 + 0 + 16 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14212590271 + ... + 14212590401.

Almost surely, 2^{1861849334016} is an apocalyptic number.

1861849334016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1861849334016 is the 1364496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1861849334016

1861849334016 is an abundant number, since it is smaller than the sum of its proper divisors (4640326326783).

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

1861849334016 is an equidigital number, since it uses as much as digits as its factorization.

1861849334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1861849334016 in words is "one trillion, eight hundred sixty-one billion, eight hundred forty-nine million, three hundred thirty-four thousand, sixteen".