849877484544 has 693 divisors, whose sum is σ = 2829001250901. Its totient is φ = 254883594240.

The previous prime is 849877484531. The next prime is 849877484549. The reversal of 849877484544 is 445484778948.

The square root of 849877484544 is 921888.

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

849877484544 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 7 + 74 + 8 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381627417600 + 468250066944 = 617760^2 + 684288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (849877484549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8761623504 + ... + 8761623600.

Almost surely, 2^849877484544 is an apocalyptic number.

849877484544 is the 921888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849877484544

849877484544 is an abundant number, since it is smaller than the sum of its proper divisors (1979123766357).

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

849877484544 is an frugal number, since it uses more digits than its factorization.

849877484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 113 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 849877484544 in words is "eight hundred forty-nine billion, eight hundred seventy-seven million, four hundred eighty-four thousand, five hundred forty-four".