16099145664 has 224 divisors, whose sum is σ = 51377088000. Its totient is φ = 4346265600.

The previous prime is 16099145663. The next prime is 16099145677. The reversal of 16099145664 is 46654199061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×16099145664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16099145663) 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, 15346612 + ... + 15347660.

It is an arithmetic number, because the mean of its divisors is an integer number (229362000).

Almost surely, 2^16099145664 is an apocalyptic number.

16099145664 is a gapful number since it is divisible by the number (14) 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 16099145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688544000).

16099145664 is an abundant number, since it is smaller than the sum of its proper divisors (35277942336).

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

16099145664 is a wasteful number, since it uses less digits than its factorization.

16099145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 16099145664 in words is "sixteen billion, ninety-nine million, one hundred forty-five thousand, six hundred sixty-four".