94638456000000 has 4200 divisors, whose sum is σ = 416717871880464. Its totient is φ = 21288960000000.

The previous prime is 94638455999993. The next prime is 94638456000013. The reversal of 94638456000000 is 65483649.

94638456000000 is a `hidden beast` number, since 9 + 4 + 6 + 3 + 84 + 560 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 94638456000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 1332935999965 + ... + 1332936000035.

Almost surely, 2^{94638456000000} is an apocalyptic number.

94638456000000 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 94638456000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208358935940232).

94638456000000 is an abundant number, since it is smaller than the sum of its proper divisors (322079415880464).

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

94638456000000 is an frugal number, since it uses more digits than its factorization.

94638456000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 94638456000000 in words is "ninety-four trillion, six hundred thirty-eight billion, four hundred fifty-six million", and thus it is an aban number.