1332486144 has 336 divisors, whose sum is σ = 4416332544. Its totient is φ = 383385600.

The previous prime is 1332486139. The next prime is 1332486167. The reversal of 1332486144 is 4416842331.

1332486144 is a `hidden beast` number, since 1 + 3 + 32 + 4 + 8 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1332486099 and 1332486108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25141222 + ... + 25141274.

Almost surely, 2^1332486144 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 1332486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208166272).

1332486144 is an abundant number, since it is smaller than the sum of its proper divisors (3083846400).

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

1332486144 is a wasteful number, since it uses less digits than its factorization.

1332486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1332486144 is about 36503.2347059819. The cubic root of 1332486144 is about 1100.4092537793.

The spelling of 1332486144 in words is "one billion, three hundred thirty-two million, four hundred eighty-six thousand, one hundred forty-four".