1616353152 has 192 divisors, whose sum is σ = 4591448400. Its totient is φ = 503635968.

The previous prime is 1616353117. The next prime is 1616353157. The reversal of 1616353152 is 2513536161.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1616353152² = 5225195023960670208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616353157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14828874 + ... + 14828982.

Almost surely, 2^1616353152 is an apocalyptic number.

1616353152 is a gapful number since it is divisible by the number (12) 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 1616353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295724200).

1616353152 is an abundant number, since it is smaller than the sum of its proper divisors (2975095248).

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

1616353152 is a wasteful number, since it uses less digits than its factorization.

1616353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 210 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 1616353152 is about 40203.8947367043. The cubic root of 1616353152 is about 1173.5783384142.

The spelling of 1616353152 in words is "one billion, six hundred sixteen million, three hundred fifty-three thousand, one hundred fifty-two".