1616148480 has 96 divisors (see below), whose sum is σ = 5170510800. Its totient is φ = 430964736.

The previous prime is 1616148463. The next prime is 1616148481. The reversal of 1616148480 is 848416161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1616148480² = 5223871818812620800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616148481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4416 + ... + 57024.

Almost surely, 2^1616148480 is an apocalyptic number.

1616148480 is a gapful number since it is divisible by the number (10) 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 1616148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585255400).

1616148480 is an abundant number, since it is smaller than the sum of its proper divisors (3554362320).

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

1616148480 is an equidigital number, since it uses as much as digits as its factorization.

1616148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639 (or 52619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1616148480 is about 40201.3492310892. The cubic root of 1616148480 is about 1173.5288012273.

The spelling of 1616148480 in words is "one billion, six hundred sixteen million, one hundred forty-eight thousand, four hundred eighty".