947345988000 has 768 divisors, whose sum is σ = 3363587555328. Its totient is φ = 232404480000.

The previous prime is 947345987921. The next prime is 947345988019. The reversal of 947345988000 is 889543749.

It is a super-2 number, since 2×947345988000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2250227790 + ... + 2250228210.

It is an arithmetic number, because the mean of its divisors is an integer number (4379671296).

Almost surely, 2^947345988000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947345988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681793777664).

947345988000 is an abundant number, since it is smaller than the sum of its proper divisors (2416241567328).

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

947345988000 is a wasteful number, since it uses less digits than its factorization.

947345988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 947345988000 in words is "nine hundred forty-seven billion, three hundred forty-five million, nine hundred eighty-eight thousand".