8452551456 has 144 divisors (see below), whose sum is σ = 24678108000. Its totient is φ = 2743286784.

The previous prime is 8452551391. The next prime is 8452551463. The reversal of 8452551456 is 6541552548.

8452551456 is a `hidden beast` number, since 8 + 4 + 52 + 551 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8452551456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815820 + ... + 1820468.

It is an arithmetic number, because the mean of its divisors is an integer number (171375750).

Almost surely, 2^8452551456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8452551456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339054000).

8452551456 is an abundant number, since it is smaller than the sum of its proper divisors (16225556544).

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

8452551456 is a wasteful number, since it uses less digits than its factorization.

8452551456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4820 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The square root of 8452551456 is about 91937.7585978688. The cubic root of 8452551456 is about 2037.0230396281.

It can be divided in two parts, 84525 and 51456, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 8452551456 in words is "eight billion, four hundred fifty-two million, five hundred fifty-one thousand, four hundred fifty-six".