948144509256 has 96 divisors (see below), whose sum is σ = 2758726283040. Its totient is φ = 270764105472.

The previous prime is 948144509251. The next prime is 948144509261. The reversal of 948144509256 is 652905441849.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (948144509251) and next prime (948144509261).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 948144509196 and 948144509205.

It is not an unprimeable number, because it can be changed into a prime (948144509251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2184876 + ... + 2582628.

It is an arithmetic number, because the mean of its divisors is an integer number (28736732115).

Almost surely, 2^948144509256 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 948144509256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379363141520).

948144509256 is an abundant number, since it is smaller than the sum of its proper divisors (1810581773784).

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

948144509256 is a wasteful number, since it uses less digits than its factorization.

948144509256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399803 (or 399792 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 948144509256 in words is "nine hundred forty-eight billion, one hundred forty-four million, five hundred nine thousand, two hundred fifty-six".