10006613334 has 48 divisors (see below), whose sum is σ = 22199006544. Its totient is φ = 3255940800.

The previous prime is 10006613303. The next prime is 10006613363. The reversal of 10006613334 is 43331660001.

10006613334 is a `hidden beast` number, since 10 + 0 + 0 + 6 + 613 + 3 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10006613298 and 10006613307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716144 + ... + 1721964.

It is an arithmetic number, because the mean of its divisors is an integer number (462479303).

Almost surely, 2^10006613334 is an apocalyptic number.

10006613334 is an abundant number, since it is smaller than the sum of its proper divisors (12192393210).

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

10006613334 is a wasteful number, since it uses less digits than its factorization.

10006613334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 10006613334 in words is "ten billion, six million, six hundred thirteen thousand, three hundred thirty-four".