1488615648 has 192 divisors, whose sum is σ = 4500599040. Its totient is φ = 426995712.

The previous prime is 1488615647. The next prime is 1488615649. The reversal of 1488615648 is 8465168841.

It is an interprime number because it is at equal distance from previous prime (1488615647) and next prime (1488615649).

It is a super-3 number, since 3×1488615648³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1488615648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488615643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588236 + ... + 1589172.

It is an arithmetic number, because the mean of its divisors is an integer number (23440620).

Almost surely, 2^1488615648 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 1488615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250299520).

1488615648 is an abundant number, since it is smaller than the sum of its proper divisors (3011983392).

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

1488615648 is a wasteful number, since it uses less digits than its factorization.

1488615648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 1488615648 is about 38582.5821841929. The cubic root of 1488615648 is about 1141.8109229429.

The spelling of 1488615648 in words is "one billion, four hundred eighty-eight million, six hundred fifteen thousand, six hundred forty-eight".