1452216263472 has 320 divisors, whose sum is σ = 4539959424000. Its totient is φ = 441782138880.

The previous prime is 1452216263387. The next prime is 1452216263473. The reversal of 1452216263472 is 2743626122541.

1452216263472 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 1 + 6 + 2 + 634 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1452216263473) 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 63 ways as a sum of consecutive naturals, for example, 440197279 + ... + 440200577.

It is an arithmetic number, because the mean of its divisors is an integer number (14187373200).

Almost surely, 2^{1452216263472} is an apocalyptic number.

1452216263472 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 1452216263472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269979712000).

1452216263472 is an abundant number, since it is smaller than the sum of its proper divisors (3087743160528).

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

1452216263472 is a wasteful number, since it uses less digits than its factorization.

1452216263472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4181 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 1452216263472 in words is "one trillion, four hundred fifty-two billion, two hundred sixteen million, two hundred sixty-three thousand, four hundred seventy-two".