16311878496 has 144 divisors (see below), whose sum is σ = 48284977104. Its totient is φ = 5416948224.

The previous prime is 16311878467. The next prime is 16311878509. The reversal of 16311878496 is 69487811361.

16311878496 is a `hidden beast` number, since 1 + 63 + 11 + 87 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150166 + ... + 2157738.

It is an arithmetic number, because the mean of its divisors is an integer number (335312341).

Almost surely, 2^16311878496 is an apocalyptic number.

16311878496 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 16311878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24142488552).

16311878496 is an abundant number, since it is smaller than the sum of its proper divisors (31973098608).

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

16311878496 is an equidigital number, since it uses as much as digits as its factorization.

16311878496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7855 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 16311878496 in words is "sixteen billion, three hundred eleven million, eight hundred seventy-eight thousand, four hundred ninety-six".