947116800000 has 2016 divisors, whose sum is σ = 4195826762400. Its totient is φ = 209018880000.

The previous prime is 947116799957. The next prime is 947116800001. The reversal of 947116800000 is 8611749.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947116800001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32659199986 + ... + 32659200014.

It is an arithmetic number, because the mean of its divisors is an integer number (2081263275).

Almost surely, 2^947116800000 is an apocalyptic number.

947116800000 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 947116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097913381200).

947116800000 is an abundant number, since it is smaller than the sum of its proper divisors (3248709962400).

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

947116800000 is an frugal number, since it uses more digits than its factorization.

947116800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 947116800000 in words is "nine hundred forty-seven billion, one hundred sixteen million, eight hundred thousand".