966106393032 has 128 divisors (see below), whose sum is σ = 2776617169920. Its totient is φ = 277258080000.

The previous prime is 966106393019. The next prime is 966106393051. The reversal of 966106393032 is 230393601669.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174394 + ... + 1400937.

It is an arithmetic number, because the mean of its divisors is an integer number (21692321640).

Almost surely, 2^966106393032 is an apocalyptic number.

966106393032 is a gapful number since it is divisible by the number (92) 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 966106393032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388308584960).

966106393032 is an abundant number, since it is smaller than the sum of its proper divisors (1810510776888).

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

966106393032 is a wasteful number, since it uses less digits than its factorization.

966106393032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575475 (or 1575471 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The spelling of 966106393032 in words is "nine hundred sixty-six billion, one hundred six million, three hundred ninety-three thousand, thirty-two".