16002416352 has 192 divisors, whose sum is σ = 46520744256. Its totient is φ = 4785930240.

The previous prime is 16002416333. The next prime is 16002416357. The reversal of 16002416352 is 25361420061.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16002416357) 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, 7473202 + ... + 7475342.

It is an arithmetic number, because the mean of its divisors is an integer number (242295543).

Almost surely, 2^16002416352 is an apocalyptic number.

16002416352 is a gapful number since it is divisible by the number (12) 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 16002416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260372128).

16002416352 is an abundant number, since it is smaller than the sum of its proper divisors (30518327904).

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

16002416352 is a wasteful number, since it uses less digits than its factorization.

16002416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 16002416352 in words is "sixteen billion, two million, four hundred sixteen thousand, three hundred fifty-two".