948914568 has 512 divisors, whose sum is σ = 3525120000. Its totient is φ = 229920768.

The previous prime is 948914531. The next prime is 948914573. The reversal of 948914568 is 865419849.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (2488320) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14162871 + ... + 14162937.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^948914568 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 948914568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560000).

948914568 is an abundant number, since it is smaller than the sum of its proper divisors (2576205432).

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

948914568 is a wasteful number, since it uses less digits than its factorization.

948914568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 948914568 is about 30804.4569502532. The cubic root of 948914568 is about 982.6730328658.

The spelling of 948914568 in words is "nine hundred forty-eight million, nine hundred fourteen thousand, five hundred sixty-eight".