10123658964 has 144 divisors (see below), whose sum is σ = 28837652480. Its totient is φ = 3093642720.

The previous prime is 10123658873. The next prime is 10123658971. The reversal of 10123658964 is 46985632101.

10123658964 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 6 + 589 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563667 + ... + 581349.

Almost surely, 2^10123658964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123658964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418826240).

10123658964 is an abundant number, since it is smaller than the sum of its proper divisors (18713993516).

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

10123658964 is a wasteful number, since it uses less digits than its factorization.

10123658964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17752 (or 17738 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10123658964 in words is "ten billion, one hundred twenty-three million, six hundred fifty-eight thousand, nine hundred sixty-four".