13906296310900 has 72 divisors (see below), whose sum is σ = 34804015178240. Its totient is φ = 4724131040640.

The previous prime is 13906296310891. The next prime is 13906296310903. The reversal of 13906296310900 is 901369260931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906296310903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91052772 + ... + 91205371.

Almost surely, 2^{13906296310900} is an apocalyptic number.

13906296310900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13906296310900 is an abundant number, since it is smaller than the sum of its proper divisors (20897718867340).

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

13906296310900 is a wasteful number, since it uses less digits than its factorization.

13906296310900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182258273 (or 182258266 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 49.

The spelling of 13906296310900 in words is "thirteen trillion, nine hundred six billion, two hundred ninety-six million, three hundred ten thousand, nine hundred".