1488138624 has 288 divisors, whose sum is σ = 5110854840. Its totient is φ = 414167040.

The previous prime is 1488138607. The next prime is 1488138661. The reversal of 1488138624 is 4268318841.

1488138624 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 13 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1488138624² = 4429113128481226752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1488138624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2314047 + ... + 2314689.

Almost surely, 2^1488138624 is an apocalyptic number.

1488138624 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 1488138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555427420).

1488138624 is an abundant number, since it is smaller than the sum of its proper divisors (3622716216).

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

1488138624 is a wasteful number, since it uses less digits than its factorization.

1488138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 696 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1488138624 is about 38576.3998320217. The cubic root of 1488138624 is about 1141.6889462136.

The spelling of 1488138624 in words is "one billion, four hundred eighty-eight million, one hundred thirty-eight thousand, six hundred twenty-four".