966131004384000 has 4320 divisors, whose sum is σ = 4700885740526976. Its totient is φ = 191838722457600.

The previous prime is 966131004383971. The next prime is 966131004384023. The reversal of 966131004384000 is 483400131669.

966131004384000 is a `hidden beast` number, since 9 + 66 + 13 + 100 + 438 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 68167000914 + ... + 68167015086.

Almost surely, 2^{966131004384000} is an apocalyptic number.

966131004384000 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 966131004384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350442870263488).

966131004384000 is an abundant number, since it is smaller than the sum of its proper divisors (3734754736142976).

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

966131004384000 is a wasteful number, since it uses less digits than its factorization.

966131004384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 966131004384000 in words is "nine hundred sixty-six trillion, one hundred thirty-one billion, four million, three hundred eighty-four thousand".