994117681152000 has 2484 divisors, whose sum is σ = 3953593864975404. Its totient is φ = 249504045465600.

The previous prime is 994117681151977. The next prime is 994117681152007. The reversal of 994117681152000 is 251186711499.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

994117681152000 is a `hidden beast` number, since 9 + 9 + 41 + 1 + 7 + 68 + 11 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 92573339222016 + 901544341929984 = 9621504^2 + 30025728^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994117681152007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58477510655992 + ... + 58477510656008.

Almost surely, 2^{994117681152000} is an apocalyptic number.

994117681152000 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 994117681152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976796932487702).

994117681152000 is an abundant number, since it is smaller than the sum of its proper divisors (2959476183823404).

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

994117681152000 is an frugal number, since it uses more digits than its factorization.

994117681152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 994117681152000 in words is "nine hundred ninety-four trillion, one hundred seventeen billion, six hundred eighty-one million, one hundred fifty-two thousand".