1488370720144 has 405 divisors, whose sum is σ = 3933745959171. Its totient is φ = 543431454720.

The previous prime is 1488370720021. The next prime is 1488370720147. The reversal of 1488370720144 is 4410270738841.

The square root of 1488370720144 is 1219988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 751417744 + 1487619302400 = 27412^2 + 1219680^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1488370720147) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6387857052 + ... + 6387857284.

Almost surely, 2^{1488370720144} is an apocalyptic number.

1488370720144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1488370720144 is the 1219988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488370720144

1488370720144 is an abundant number, since it is smaller than the sum of its proper divisors (2445375239027).

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

1488370720144 is a wasteful number, since it uses less digits than its factorization.

1488370720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

Multiplying 1488370720144 by its sum of digits (49), we get a square (72930165287056 = 8539916²).

1488370720144 divided by its sum of digits (49) gives a square (30374912656 = 174284²).

The spelling of 1488370720144 in words is "one trillion, four hundred eighty-eight billion, three hundred seventy million, seven hundred twenty thousand, one hundred forty-four".