94556947968 has 1200 divisors, whose sum is σ = 361248307200. Its totient is φ = 24455208960.

The previous prime is 94556947967. The next prime is 94556947997. The reversal of 94556947968 is 86974965549.

94556947968 is a `hidden beast` number, since 9 + 4 + 556 + 9 + 4 + 7 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 94556947896 and 94556947905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94556947967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1196923353 + ... + 1196923431.

It is an arithmetic number, because the mean of its divisors is an integer number (301040256).

Almost surely, 2^94556947968 is an apocalyptic number.

94556947968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94556947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180624153600).

94556947968 is an abundant number, since it is smaller than the sum of its proper divisors (266691359232).

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

94556947968 is a wasteful number, since it uses less digits than its factorization.

94556947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 94556947968 in words is "ninety-four billion, five hundred fifty-six million, nine hundred forty-seven thousand, nine hundred sixty-eight".