10149234924006 has 32 divisors (see below), whose sum is σ = 22593354326400. Its totient is φ = 3377153467080.

The previous prime is 10149234923963. The next prime is 10149234924047. The reversal of 10149234924006 is 60042943294101.

10149234924006 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 234 + 9 + 2 + 400 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164547796 + ... + 164609463.

It is an arithmetic number, because the mean of its divisors is an integer number (706042322700).

Almost surely, 2^{10149234924006} is an apocalyptic number.

10149234924006 is an abundant number, since it is smaller than the sum of its proper divisors (12444119402394).

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

10149234924006 is a wasteful number, since it uses less digits than its factorization.

10149234924006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329157841 (or 329157835 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10149234924006 in words is "ten trillion, one hundred forty-nine billion, two hundred thirty-four million, nine hundred twenty-four thousand, six".