2849119094016 has 576 divisors, whose sum is σ = 9169802611200. Its totient is φ = 872563580928.

The previous prime is 2849119093999. The next prime is 2849119094039. The reversal of 2849119094016 is 6104909119482.

2849119094016 is a `hidden beast` number, since 2 + 8 + 49 + 1 + 190 + 9 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2849119094016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5664252421 + ... + 5664252923.

It is an arithmetic number, because the mean of its divisors is an integer number (15919796200).

Almost surely, 2^{2849119094016} is an apocalyptic number.

2849119094016 is a gapful number since it is divisible by the number (26) 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 2849119094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584901305600).

2849119094016 is an abundant number, since it is smaller than the sum of its proper divisors (6320683517184).

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

2849119094016 is an equidigital number, since it uses as much as digits as its factorization.

2849119094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 2849119094016 in words is "two trillion, eight hundred forty-nine billion, one hundred nineteen million, ninety-four thousand, sixteen".