849961154226240 has 1344 divisors, whose sum is σ = 3483989270361600. Its totient is φ = 193209695207424.

The previous prime is 849961154226227. The next prime is 849961154226293. The reversal of 849961154226240 is 42622451169948.

849961154226240 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 61 + 1 + 542 + 2 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75025252896 + ... + 75025264224.

It is an arithmetic number, because the mean of its divisors is an integer number (2592253921400).

Almost surely, 2^{849961154226240} is an apocalyptic number.

849961154226240 is a gapful number since it is divisible by the number (80) 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 849961154226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741994635180800).

849961154226240 is an abundant number, since it is smaller than the sum of its proper divisors (2634028116135360).

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

849961154226240 is a wasteful number, since it uses less digits than its factorization.

849961154226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 849961154226240 in words is "eight hundred forty-nine trillion, nine hundred sixty-one billion, one hundred fifty-four million, two hundred twenty-six thousand, two hundred forty".