1468607616 has 144 divisors (see below), whose sum is σ = 4916231190. Its totient is φ = 419586048.

The previous prime is 1468607587. The next prime is 1468607627. The reversal of 1468607616 is 6167068641.

It can be written as a sum of positive squares in only one way, i.e., 1095345216 + 373262400 = 33096^2 + 19320^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43440 + ... + 69456.

Almost surely, 2^1468607616 is an apocalyptic number.

1468607616 is a gapful number since it is divisible by the number (16) 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 1468607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458115595).

1468607616 is an abundant number, since it is smaller than the sum of its proper divisors (3447623574).

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

1468607616 is a wasteful number, since it uses less digits than its factorization.

1468607616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26051 (or 26029 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1468607616 is about 38322.4166252599. The cubic root of 1468607616 is about 1136.6722530300.

The spelling of 1468607616 in words is "one billion, four hundred sixty-eight million, six hundred seven thousand, six hundred sixteen".