1452068856000 has 784 divisors, whose sum is σ = 6162009072960. Its totient is φ = 331892121600.

The previous prime is 1452068855981. The next prime is 1452068856011. The reversal of 1452068856000 is 6588602541.

1452068856000 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 6 + 88 + 560 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40806216 + ... + 40841784.

Almost surely, 2^{1452068856000} is an apocalyptic number.

1452068856000 is a gapful number since it is divisible by the number (10) 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 1452068856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081004536480).

1452068856000 is an abundant number, since it is smaller than the sum of its proper divisors (4709940216960).

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

1452068856000 is an frugal number, since it uses more digits than its factorization.

1452068856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35621 (or 35586 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1452068856000 in words is "one trillion, four hundred fifty-two billion, sixty-eight million, eight hundred fifty-six thousand".