10634112000 has 704 divisors, whose sum is σ = 41845265280. Its totient is φ = 2654208000.

The previous prime is 10634111987. The next prime is 10634112029. The reversal of 10634112000 is 21143601.

It is a happy number.

10634112000 is a `hidden beast` number, since 1 + 0 + 634 + 11 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×10634112000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58751910 + ... + 58752090.

Almost surely, 2^10634112000 is an apocalyptic number.

10634112000 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 10634112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922632640).

10634112000 is an abundant number, since it is smaller than the sum of its proper divisors (31211153280).

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

10634112000 is a wasteful number, since it uses less digits than its factorization.

10634112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10634112000 its reverse (21143601), we get a palindrome (10655255601).

It can be divided in two parts, 106341 and 12000, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 10634112000 in words is "ten billion, six hundred thirty-four million, one hundred twelve thousand".