948014419968 has 1040 divisors, whose sum is σ = 3617095274496. Its totient is φ = 240232366080.

The previous prime is 948014419943. The next prime is 948014419981. The reversal of 948014419968 is 869914410849.

948014419968 is a `hidden beast` number, since 9 + 48 + 0 + 1 + 441 + 99 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1098509905 + ... + 1098510767.

Almost surely, 2^948014419968 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 948014419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808547637248).

948014419968 is an abundant number, since it is smaller than the sum of its proper divisors (2669080854528).

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

948014419968 is a wasteful number, since it uses less digits than its factorization.

948014419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 948014419968 in words is "nine hundred forty-eight billion, fourteen million, four hundred nineteen thousand, nine hundred sixty-eight".