16161629600 has 72 divisors (see below), whose sum is σ = 40520992428. Its totient is φ = 6289920000.

The previous prime is 16161629591. The next prime is 16161629633. The reversal of 16161629600 is 692616161.

16161629600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13592761744 + 2568867856 = 116588^2 + 50684^2 .

It is a super-2 number, since 2×16161629600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243401 + ... + 302600.

Almost surely, 2^16161629600 is an apocalyptic number.

16161629600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16161629600 is an abundant number, since it is smaller than the sum of its proper divisors (24359362828).

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

16161629600 is a wasteful number, since it uses less digits than its factorization.

16161629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546058 (or 546045 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 16161629600 in words is "sixteen billion, one hundred sixty-one million, six hundred twenty-nine thousand, six hundred".