948983382144 has 384 divisors, whose sum is σ = 3239795220480. Its totient is φ = 270862341120.

The previous prime is 948983382131. The next prime is 948983382161. The reversal of 948983382144 is 441283389849.

948983382144 is a `hidden beast` number, since 9 + 4 + 89 + 8 + 338 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320276407 + ... + 320279369.

It is an arithmetic number, because the mean of its divisors is an integer number (8436966720).

Almost surely, 2^948983382144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948983382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619897610240).

948983382144 is an abundant number, since it is smaller than the sum of its proper divisors (2290811838336).

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

948983382144 is a wasteful number, since it uses less digits than its factorization.

948983382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4446 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 948983382144 in words is "nine hundred forty-eight billion, nine hundred eighty-three million, three hundred eighty-two thousand, one hundred forty-four".