1452295744128 has 448 divisors, whose sum is σ = 4624439280000. Its totient is φ = 452770725888.

The previous prime is 1452295744121. The next prime is 1452295744153. The reversal of 1452295744128 is 8214475922541.

1452295744128 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 9 + 574 + 41 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1452295744121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 140056128 + ... + 140066496.

Almost surely, 2^{1452295744128} is an apocalyptic number.

1452295744128 is a gapful number since it is divisible by the number (18) 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 1452295744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312219640000).

1452295744128 is an abundant number, since it is smaller than the sum of its proper divisors (3172143535872).

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

1452295744128 is an equidigital number, since it uses as much as digits as its factorization.

1452295744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10472 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1452295744128 in words is "one trillion, four hundred fifty-two billion, two hundred ninety-five million, seven hundred forty-four thousand, one hundred twenty-eight".