1613464416 has 72 divisors (see below), whose sum is σ = 4746530880. Its totient is φ = 519273216.

The previous prime is 1613464403. The next prime is 1613464451. The reversal of 1613464416 is 6144643161.

1613464416 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 4 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 88240 + ... + 104943.

It is an arithmetic number, because the mean of its divisors is an integer number (65924040).

Almost surely, 2^1613464416 is an apocalyptic number.

1613464416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1613464416 is an abundant number, since it is smaller than the sum of its proper divisors (3133066464).

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

1613464416 is a wasteful number, since it uses less digits than its factorization.

1613464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193228 (or 193217 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1613464416 is about 40167.9525990559. The cubic root of 1613464416 is about 1172.8787842726.

The spelling of 1613464416 in words is "one billion, six hundred thirteen million, four hundred sixty-four thousand, four hundred sixteen".