1452066442632 has 768 divisors, whose sum is σ = 4764230784000. Its totient is φ = 408018124800.

The previous prime is 1452066442579. The next prime is 1452066442637. The reversal of 1452066442632 is 2362446602541.

It is a happy number.

1452066442632 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 6 + 6 + 4 + 4 + 2 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (1452066442637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3369063457 + ... + 3369063887.

It is an arithmetic number, because the mean of its divisors is an integer number (6203425500).

Almost surely, 2^{1452066442632} is an apocalyptic number.

1452066442632 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 1452066442632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382115392000).

1452066442632 is an abundant number, since it is smaller than the sum of its proper divisors (3312164341368).

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

1452066442632 is a wasteful number, since it uses less digits than its factorization.

1452066442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1452066442632 in words is "one trillion, four hundred fifty-two billion, sixty-six million, four hundred forty-two thousand, six hundred thirty-two".