16133872416 has 96 divisors (see below), whose sum is σ = 42812074368. Its totient is φ = 5319659520.

The previous prime is 16133872409. The next prime is 16133872429. The reversal of 16133872416 is 61427833161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6843910 + ... + 6846266.

It is an arithmetic number, because the mean of its divisors is an integer number (445959108).

Almost surely, 2^16133872416 is an apocalyptic number.

16133872416 is a gapful number since it is divisible by the number (16) 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 16133872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406037184).

16133872416 is an abundant number, since it is smaller than the sum of its proper divisors (26678201952).

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

16133872416 is a wasteful number, since it uses less digits than its factorization.

16133872416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 16133872416 in words is "sixteen billion, one hundred thirty-three million, eight hundred seventy-two thousand, four hundred sixteen".