2849319163152 has 1440 divisors, whose sum is σ = 10863768674304. Its totient is φ = 702415411200.

The previous prime is 2849319163151. The next prime is 2849319163219. The reversal of 2849319163152 is 2513619139482.

2849319163152 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 319 + 1 + 6 + 315 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2849319163151) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20797950028 + ... + 20797950164.

Almost surely, 2^{2849319163152} is an apocalyptic number.

2849319163152 is a gapful number since it is divisible by the number (22) 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 2849319163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431884337152).

2849319163152 is an abundant number, since it is smaller than the sum of its proper divisors (8014449511152).

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

2849319163152 is a wasteful number, since it uses less digits than its factorization.

2849319163152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 2849319163152 in words is "two trillion, eight hundred forty-nine billion, three hundred nineteen million, one hundred sixty-three thousand, one hundred fifty-two".