16612134000 has 640 divisors, whose sum is σ = 68479617024. Its totient is φ = 3363840000.

The previous prime is 16612133981. The next prime is 16612134013. The reversal of 16612134000 is 43121661.

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 127 ways as a sum of consecutive naturals, for example, 18941562 + ... + 18942438.

Almost surely, 2^16612134000 is an apocalyptic number.

16612134000 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 16612134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34239808512).

16612134000 is an abundant number, since it is smaller than the sum of its proper divisors (51867483024).

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

16612134000 is a wasteful number, since it uses less digits than its factorization.

16612134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

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

Adding to 16612134000 its reverse (43121661), we get a palindrome (16655255661).

The spelling of 16612134000 in words is "sixteen billion, six hundred twelve million, one hundred thirty-four thousand".