1645183488 has 160 divisors (see below), whose sum is σ = 4823191296. Its totient is φ = 495157248.

The previous prime is 1645183487. The next prime is 1645183489. The reversal of 1645183488 is 8843815461.

It is an interprime number because it is at equal distance from previous prime (1645183487) and next prime (1645183489).

It is a super-2 number, since 2×1645183488² = 5413257418375692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1645183487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937620 + ... + 939372.

Almost surely, 2^1645183488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1645183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411595648).

1645183488 is an abundant number, since it is smaller than the sum of its proper divisors (3178007808).

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

1645183488 is a wasteful number, since it uses less digits than its factorization.

1645183488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1818 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 1645183488 is about 40560.8615293117. The cubic root of 1645183488 is about 1180.5148304092.

The spelling of 1645183488 in words is "one billion, six hundred forty-five million, one hundred eighty-three thousand, four hundred eighty-eight".