1452851606304 has 480 divisors, whose sum is σ = 5152606462080. Its totient is φ = 392304549888.

The previous prime is 1452851606299. The next prime is 1452851606369. The reversal of 1452851606304 is 4036061582541.

1452851606304 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 8 + 5 + 1 + 6 + 0 + 630 + 4 = 666.

It is a super-2 number, since 2×1452851606304² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1452851606304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149265822 + ... + 149275554.

It is an arithmetic number, because the mean of its divisors is an integer number (10734596796).

Almost surely, 2^{1452851606304} is an apocalyptic number.

1452851606304 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 1452851606304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576303231040).

1452851606304 is an abundant number, since it is smaller than the sum of its proper divisors (3699754855776).

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

1452851606304 is a wasteful number, since it uses less digits than its factorization.

1452851606304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1452851606304 in words is "one trillion, four hundred fifty-two billion, eight hundred fifty-one million, six hundred six thousand, three hundred four".