16144117000 has 128 divisors (see below), whose sum is σ = 41614560000. Its totient is φ = 5813184000.

The previous prime is 16144116979. The next prime is 16144117007. The reversal of 16144117000 is 71144161.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (16144117007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125876 + ... + 1140124.

It is an arithmetic number, because the mean of its divisors is an integer number (325113750).

Almost surely, 2^16144117000 is an apocalyptic number.

16144117000 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 16144117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807280000).

16144117000 is an abundant number, since it is smaller than the sum of its proper divisors (25470443000).

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

16144117000 is a wasteful number, since it uses less digits than its factorization.

16144117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14384 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 16144117000 in words is "sixteen billion, one hundred forty-four million, one hundred seventeen thousand".