10149867441272 has 64 divisors (see below), whose sum is σ = 21051202142880. Its totient is φ = 4557433462272.

The previous prime is 10149867441257. The next prime is 10149867441293. The reversal of 10149867441272 is 27214476894101.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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, 35269838 + ... + 35556450.

Almost surely, 2^{10149867441272} is an apocalyptic number.

It is an amenable number.

10149867441272 is an abundant number, since it is smaller than the sum of its proper divisors (10901334701608).

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

10149867441272 is a wasteful number, since it uses less digits than its factorization.

10149867441272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295872 (or 295868 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 10149867441272 in words is "ten trillion, one hundred forty-nine billion, eight hundred sixty-seven million, four hundred forty-one thousand, two hundred seventy-two".