1452481250304 has 264 divisors, whose sum is σ = 4608208168608. Its totient is φ = 405341798400.

The previous prime is 1452481250303. The next prime is 1452481250323. The reversal of 1452481250304 is 4030521842541.

It is a super-2 number, since 2×1452481250304² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1452481250303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6360504 + ... + 6584904.

It is an arithmetic number, because the mean of its divisors is an integer number (17455333972).

Almost surely, 2^{1452481250304} is an apocalyptic number.

1452481250304 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 1452481250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304104084304).

1452481250304 is an abundant number, since it is smaller than the sum of its proper divisors (3155726918304).

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

1452481250304 is a wasteful number, since it uses less digits than its factorization.

1452481250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224481 (or 224456 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 1452481250304 in words is "one trillion, four hundred fifty-two billion, four hundred eighty-one million, two hundred fifty thousand, three hundred four".