16408316315524 has 81 divisors (see below), whose sum is σ = 34242065471439. Its totient is φ = 6859647889920.

The previous prime is 16408316315497. The next prime is 16408316315543. The reversal of 16408316315524 is 42551361380461.

The square root of 16408316315524 is 4050718.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 631786522500 + 15776529793024 = 794850^2 + 3971968^2 .

It is a super-6 number, since 6×16408316315524⁶ (a number of 81 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2325108604 + ... + 2325115660.

Almost surely, 2^{16408316315524} is an apocalyptic number.

16408316315524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16408316315524 is the 4050718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16408316315524

16408316315524 is an abundant number, since it is smaller than the sum of its proper divisors (17833749155915).

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

16408316315524 is an frugal number, since it uses more digits than its factorization.

16408316315524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 16408316315524 by its sum of digits (49), we get a square (804007499460676 = 28355026²).

16408316315524 divided by its sum of digits (49) gives a square (334863598276 = 578674²).

Adding to 16408316315524 its reverse (42551361380461), we get a palindrome (58959677695985).

The spelling of 16408316315524 in words is "sixteen trillion, four hundred eight billion, three hundred sixteen million, three hundred fifteen thousand, five hundred twenty-four".