10614066000 has 160 divisors (see below), whose sum is σ = 34374907008. Its totient is φ = 2817587200.

The previous prime is 10614065953. The next prime is 10614066011. The reversal of 10614066000 is 66041601.

It is a super-2 number, since 2×10614066000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358104 + ... + 1365896.

Almost surely, 2^10614066000 is an apocalyptic number.

10614066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10614066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187453504).

10614066000 is an abundant number, since it is smaller than the sum of its proper divisors (23760841008).

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

10614066000 is a wasteful number, since it uses less digits than its factorization.

10614066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10614066000 in words is "ten billion, six hundred fourteen million, sixty-six thousand".