1617144816 has 40 divisors (see below), whose sum is σ = 4774428544. Its totient is φ = 462041280.

The previous prime is 1617144811. The next prime is 1617144833. The reversal of 1617144816 is 6184417161.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617144811) 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, 2406130 + ... + 2406801.

Almost surely, 2^1617144816 is an apocalyptic number.

1617144816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1617144816 is an abundant number, since it is smaller than the sum of its proper divisors (3157283728).

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

1617144816 is a wasteful number, since it uses less digits than its factorization.

1617144816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812949 (or 4812943 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 1617144816 is about 40213.7391447252. The cubic root of 1617144816 is about 1173.7699071274.

The spelling of 1617144816 in words is "one billion, six hundred seventeen million, one hundred forty-four thousand, eight hundred sixteen".