101638540863 has 12 divisors (see below), whose sum is σ = 146815830720. Its totient is φ = 67756901856.

The previous prime is 101638540831. The next prime is 101638540889. The reversal of 101638540863 is 368045836101.

101638540863 is a `hidden beast` number, since 1 + 0 + 1 + 638 + 5 + 4 + 0 + 8 + 6 + 3 = 666.

It is a Cunningham number, because it is equal to 318808²-1.

It is not a de Polignac number, because 101638540863 - 2⁵ = 101638540831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101638541863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159403 + ... + 478211.

It is an arithmetic number, because the mean of its divisors is an integer number (12234652560).

Almost surely, 2^101638540863 is an apocalyptic number.

101638540863 is a deficient number, since it is larger than the sum of its proper divisors (45177289857).

101638540863 is a wasteful number, since it uses less digits than its factorization.

101638540863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354238 (or 354235 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101638540863 in words is "one hundred one billion, six hundred thirty-eight million, five hundred forty thousand, eight hundred sixty-three".