8852946849120 has 1152 divisors, whose sum is σ = 34341000744960. Its totient is φ = 1897210183680.

The previous prime is 8852946849107. The next prime is 8852946849143. The reversal of 8852946849120 is 219486492588.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 1637309457 + ... + 1637314863.

It is an arithmetic number, because the mean of its divisors is an integer number (29809896480).

Almost surely, 2^{8852946849120} is an apocalyptic number.

8852946849120 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 8852946849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170500372480).

8852946849120 is an abundant number, since it is smaller than the sum of its proper divisors (25488053895840).

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

8852946849120 is a wasteful number, since it uses less digits than its factorization.

8852946849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 8852946849120 in words is "eight trillion, eight hundred fifty-two billion, nine hundred forty-six million, eight hundred forty-nine thousand, one hundred twenty".