16342631424 has 528 divisors, whose sum is σ = 57905536000. Its totient is φ = 4335648768.

The previous prime is 16342631419. The next prime is 16342631449. The reversal of 16342631424 is 42413624361.

16342631424 is a `hidden beast` number, since 1 + 634 + 2 + 6 + 3 + 14 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82123677 + ... + 82123875.

Almost surely, 2^16342631424 is an apocalyptic number.

16342631424 is a gapful number since it is divisible by the number (14) 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 16342631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952768000).

16342631424 is an abundant number, since it is smaller than the sum of its proper divisors (41562904576).

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

16342631424 is a wasteful number, since it uses less digits than its factorization.

16342631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 16342631424 in words is "sixteen billion, three hundred forty-two million, six hundred thirty-one thousand, four hundred twenty-four".