963381168000 has 512 divisors, whose sum is σ = 3735246528000. Its totient is φ = 243378432000.

The previous prime is 963381167999. The next prime is 963381168037. The reversal of 963381168000 is 861183369.

It is a happy number.

963381168000 is a `hidden beast` number, since 9 + 633 + 8 + 1 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8149315 + ... + 8266685.

It is an arithmetic number, because the mean of its divisors is an integer number (7295403375).

Almost surely, 2^963381168000 is an apocalyptic number.

963381168000 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 963381168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867623264000).

963381168000 is an abundant number, since it is smaller than the sum of its proper divisors (2771865360000).

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

963381168000 is a wasteful number, since it uses less digits than its factorization.

963381168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117428 (or 117400 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 963381168000 in words is "nine hundred sixty-three billion, three hundred eighty-one million, one hundred sixty-eight thousand".