94434861168000 has 768 divisors, whose sum is σ = 344841992202240. Its totient is φ = 24762698956800.

The previous prime is 94434861167971. The next prime is 94434861168017. The reversal of 94434861168000 is 86116843449.

94434861168000 is a `hidden beast` number, since 9 + 4 + 43 + 486 + 116 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2066521152 + ... + 2066566848.

It is an arithmetic number, because the mean of its divisors is an integer number (449013010680).

Almost surely, 2^{94434861168000} is an apocalyptic number.

94434861168000 is a gapful number since it is divisible by the number (90) 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 94434861168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172420996101120).

94434861168000 is an abundant number, since it is smaller than the sum of its proper divisors (250407131034240).

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

94434861168000 is a wasteful number, since it uses less digits than its factorization.

94434861168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45972 (or 45947 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 94434861168000 in words is "ninety-four trillion, four hundred thirty-four billion, eight hundred sixty-one million, one hundred sixty-eight thousand".