948853144512 has 1890 divisors, whose sum is σ = 3820106994264. Its totient is φ = 231645173760.

The previous prime is 948853144511. The next prime is 948853144541. The reversal of 948853144512 is 215441358849.

948853144512 is a `hidden beast` number, since 9 + 4 + 8 + 85 + 3 + 1 + 44 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948853144511) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 30608165937 + ... + 30608165967.

Almost surely, 2^948853144512 is an apocalyptic number.

948853144512 is a gapful number since it is divisible by the number (92) 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 948853144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910053497132).

948853144512 is an abundant number, since it is smaller than the sum of its proper divisors (2871253849752).

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

948853144512 is a wasteful number, since it uses less digits than its factorization.

948853144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 79 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 948853144512 in words is "nine hundred forty-eight billion, eight hundred fifty-three million, one hundred forty-four thousand, five hundred twelve".