10205148964932 has 72 divisors (see below), whose sum is σ = 25909908696672. Its totient is φ = 3386748499200.

The previous prime is 10205148964883. The next prime is 10205148964939. The reversal of 10205148964932 is 23946984150201.

It is a happy number.

10205148964932 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 148 + 9 + 6 + 493 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10205148964939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34792207 + ... + 35084297.

Almost surely, 2^{10205148964932} is an apocalyptic number.

10205148964932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10205148964932 is an abundant number, since it is smaller than the sum of its proper divisors (15704759731740).

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

10205148964932 is a wasteful number, since it uses less digits than its factorization.

10205148964932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296369 (or 296364 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10205148964932 in words is "ten trillion, two hundred five billion, one hundred forty-eight million, nine hundred sixty-four thousand, nine hundred thirty-two".