10032973146292 has 48 divisors (see below), whose sum is σ = 17706774430800. Its totient is φ = 4974038784000.

The previous prime is 10032973146289. The next prime is 10032973146293. The reversal of 10032973146292 is 29264137923001.

It can be written as a sum of positive squares in 8 ways, for example, as 229398849936 + 9803574296356 = 478956^2 + 3131066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032973146293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809039292 + ... + 809051692.

It is an arithmetic number, because the mean of its divisors is an integer number (368891133975).

Almost surely, 2^{10032973146292} is an apocalyptic number.

It is an amenable number.

10032973146292 is a deficient number, since it is larger than the sum of its proper divisors (7673801284508).

10032973146292 is a wasteful number, since it uses less digits than its factorization.

10032973146292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15172 (or 15170 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 10032973146292 in words is "ten trillion, thirty-two billion, nine hundred seventy-three million, one hundred forty-six thousand, two hundred ninety-two".