966141532125 has 576 divisors, whose sum is σ = 2308220928000. Its totient is φ = 384017760000.

The previous prime is 966141532067. The next prime is 966141532151. The reversal of 966141532125 is 521235141669.

It is a happy number.

966141532125 is a `hidden beast` number, since 9 + 6 + 61 + 41 + 532 + 12 + 5 = 666.

It is not a de Polignac number, because 966141532125 - 2⁷ = 966141531997 is a prime.

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

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1936155126 + ... + 1936155624.

It is an arithmetic number, because the mean of its divisors is an integer number (4007328000).

Almost surely, 2^966141532125 is an apocalyptic number.

It is an amenable number.

966141532125 is an abundant number, since it is smaller than the sum of its proper divisors (1342079395875).

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

966141532125 is a wasteful number, since it uses less digits than its factorization.

966141532125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 966141532125 in words is "nine hundred sixty-six billion, one hundred forty-one million, five hundred thirty-two thousand, one hundred twenty-five".