1488561312 has 96 divisors (see below), whose sum is σ = 4516041600. Its totient is φ = 420507648.

The previous prime is 1488561301. The next prime is 1488561337. The reversal of 1488561312 is 2131658841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1488561312² = 4431629559166322688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47364 + ... + 72252.

It is an arithmetic number, because the mean of its divisors is an integer number (47042100).

Almost surely, 2^1488561312 is an apocalyptic number.

1488561312 is a gapful number since it is divisible by the number (12) 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 1488561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258020800).

1488561312 is an abundant number, since it is smaller than the sum of its proper divisors (3027480288).

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

1488561312 is a wasteful number, since it uses less digits than its factorization.

1488561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24998 (or 24990 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 1488561312 is about 38581.8780258297. The cubic root of 1488561312 is about 1141.7970303501.

The spelling of 1488561312 in words is "one billion, four hundred eighty-eight million, five hundred sixty-one thousand, three hundred twelve".