16315463340 has 288 divisors, whose sum is σ = 57100538880. Its totient is φ = 3862615680.

The previous prime is 16315463327. The next prime is 16315463407. The reversal of 16315463340 is 4336451361.

16315463340 is a `hidden beast` number, since 1 + 6 + 3 + 15 + 4 + 633 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16315463295 and 16315463304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2806717 + ... + 2812523.

It is an arithmetic number, because the mean of its divisors is an integer number (198265760).

Almost surely, 2^16315463340 is an apocalyptic number.

16315463340 is a gapful number since it is divisible by the number (10) 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 16315463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550269440).

16315463340 is an abundant number, since it is smaller than the sum of its proper divisors (40785075540).

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

16315463340 is a wasteful number, since it uses less digits than its factorization.

16315463340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 16315463340 in words is "sixteen billion, three hundred fifteen million, four hundred sixty-three thousand, three hundred forty".