948440064000 has 1792 divisors, whose sum is σ = 3957033959424. Its totient is φ = 198180864000.

The previous prime is 948440063999. The next prime is 948440064001. The reversal of 948440064000 is 460044849.

It is an interprime number because it is at equal distance from previous prime (948440063999) and next prime (948440064001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 948440064000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948440064001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7468031937 + ... + 7468032063.

It is an arithmetic number, because the mean of its divisors is an integer number (2208166272).

Almost surely, 2^948440064000 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 948440064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978516979712).

948440064000 is an abundant number, since it is smaller than the sum of its proper divisors (3008593895424).

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

948440064000 is a wasteful number, since it uses less digits than its factorization.

948440064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 948440064000 in words is "nine hundred forty-eight billion, four hundred forty million, sixty-four thousand".