16248508416 has 416 divisors, whose sum is σ = 55777433600. Its totient is φ = 4578508800.

The previous prime is 16248508379. The next prime is 16248508453. The reversal of 16248508416 is 61480584261.

It is a happy number.

16248508416 is a `hidden beast` number, since 1 + 62 + 48 + 508 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16248508379) and next prime (16248508453).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107605941 + ... + 107606091.

Almost surely, 2^16248508416 is an apocalyptic number.

16248508416 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 16248508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888716800).

16248508416 is an abundant number, since it is smaller than the sum of its proper divisors (39528925184).

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

16248508416 is a wasteful number, since it uses less digits than its factorization.

16248508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16248508416 in words is "sixteen billion, two hundred forty-eight million, five hundred eight thousand, four hundred sixteen".