1616208048 has 240 divisors, whose sum is σ = 5760256320. Its totient is φ = 411457536.

The previous prime is 1616208031. The next prime is 1616208053. The reversal of 1616208048 is 8408026161.

It is a super-2 number, since 2×1616208048² = 5224256908839940608, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377890 + ... + 382142.

It is an arithmetic number, because the mean of its divisors is an integer number (24001068).

Almost surely, 2^1616208048 is an apocalyptic number.

1616208048 is a gapful number since it is divisible by the number (18) 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 1616208048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880128160).

1616208048 is an abundant number, since it is smaller than the sum of its proper divisors (4144048272).

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

1616208048 is a wasteful number, since it uses less digits than its factorization.

1616208048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1616208048 is about 40202.0900949192. The cubic root of 1616208048 is about 1173.5432190248.

The spelling of 1616208048 in words is "one billion, six hundred sixteen million, two hundred eight thousand, forty-eight".