961010085948 has 48 divisors (see below), whose sum is σ = 2446327994880. Its totient is φ = 291200832000.

The previous prime is 961010085947. The next prime is 961010085953. The reversal of 961010085948 is 849580010169.

It is a self number, because there is not a number n which added to its sum of digits gives 961010085948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961010085941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2682813 + ... + 3019851.

It is an arithmetic number, because the mean of its divisors is an integer number (50965166560).

Almost surely, 2^961010085948 is an apocalyptic number.

It is an amenable number.

961010085948 is an abundant number, since it is smaller than the sum of its proper divisors (1485317908932).

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

961010085948 is a wasteful number, since it uses less digits than its factorization.

961010085948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358658 (or 358656 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 961010085948 in words is "nine hundred sixty-one billion, ten million, eighty-five thousand, nine hundred forty-eight".