948349504872 has 768 divisors, whose sum is σ = 3479666688000. Its totient is φ = 236387289600.

The previous prime is 948349504871. The next prime is 948349504873. The reversal of 948349504872 is 278405943849.

948349504872 is a `hidden beast` number, since 9 + 4 + 8 + 3 + 49 + 504 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (948349504871) and next prime (948349504873).

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

It is not an unprimeable number, because it can be changed into a prime (948349504871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458360254 + ... + 458362322.

It is an arithmetic number, because the mean of its divisors is an integer number (4530816000).

Almost surely, 2^948349504872 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 948349504872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739833344000).

948349504872 is an abundant number, since it is smaller than the sum of its proper divisors (2531317183128).

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

948349504872 is a wasteful number, since it uses less digits than its factorization.

948349504872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 948349504872 in words is "nine hundred forty-eight billion, three hundred forty-nine million, five hundred four thousand, eight hundred seventy-two".