966502621152 has 384 divisors, whose sum is σ = 3019335782400. Its totient is φ = 299886478848.

The previous prime is 966502621151. The next prime is 966502621159. The reversal of 966502621152 is 251126205669.

966502621152 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 0 + 2 + 621 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 966502621098 and 966502621107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966502621151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 553234743 + ... + 553236489.

It is an arithmetic number, because the mean of its divisors is an integer number (7862853600).

Almost surely, 2^966502621152 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 966502621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509667891200).

966502621152 is an abundant number, since it is smaller than the sum of its proper divisors (2052833161248).

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

966502621152 is a wasteful number, since it uses less digits than its factorization.

966502621152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2341 counting only the distinct ones).

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

The spelling of 966502621152 in words is "nine hundred sixty-six billion, five hundred two million, six hundred twenty-one thousand, one hundred fifty-two".