10185252948 has 72 divisors (see below), whose sum is σ = 27738791808. Its totient is φ = 3132537408.

The previous prime is 10185252943. The next prime is 10185252983. The reversal of 10185252948 is 84925258101.

10185252948 is a `hidden beast` number, since 1 + 0 + 1 + 85 + 2 + 529 + 48 = 666.

It is a super-2 number, since 2×10185252948² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185252943) 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, 1692561 + ... + 1698567.

Almost surely, 2^10185252948 is an apocalyptic number.

10185252948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10185252948 is an abundant number, since it is smaller than the sum of its proper divisors (17553538860).

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

10185252948 is a wasteful number, since it uses less digits than its factorization.

10185252948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10185252948 in words is "ten billion, one hundred eighty-five million, two hundred fifty-two thousand, nine hundred forty-eight".