83464900101 has 24 divisors (see below), whose sum is σ = 138442580640. Its totient is φ = 47922429600.

The previous prime is 83464900097. The next prime is 83464900147. The reversal of 83464900101 is 10100946438.

83464900101 is a `hidden beast` number, since 8 + 3 + 4 + 649 + 0 + 0 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 83464900101 - 2² = 83464900097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83464900201) 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 23 ways as a sum of consecutive naturals, for example, 22184430 + ... + 22188191.

It is an arithmetic number, because the mean of its divisors is an integer number (5768440860).

Almost surely, 2^83464900101 is an apocalyptic number.

It is an amenable number.

83464900101 is a deficient number, since it is larger than the sum of its proper divisors (54977680539).

83464900101 is a wasteful number, since it uses less digits than its factorization.

83464900101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44372657 (or 44372654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 83464900101 in words is "eighty-three billion, four hundred sixty-four million, nine hundred thousand, one hundred one".