1618553664 has 560 divisors, whose sum is σ = 6113361408. Its totient is φ = 412065792.

The previous prime is 1618553623. The next prime is 1618553719. The reversal of 1618553664 is 4663558161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22171932 + ... + 22172004.

Almost surely, 2^1618553664 is an apocalyptic number.

1618553664 is a gapful number since it is divisible by the number (14) 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 1618553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056680704).

1618553664 is an abundant number, since it is smaller than the sum of its proper divisors (4494807744).

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

1618553664 is a wasteful number, since it uses less digits than its factorization.

1618553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1618553664 is about 40231.2523295013. The cubic root of 1618553664 is about 1174.1106688991.

The spelling of 1618553664 in words is "one billion, six hundred eighteen million, five hundred fifty-three thousand, six hundred sixty-four".