7254482468256 has 288 divisors, whose sum is σ = 21051328334400. Its totient is φ = 2369320353792.

The previous prime is 7254482468251. The next prime is 7254482468257. The reversal of 7254482468256 is 6528642844527.

7254482468256 is a `hidden beast` number, since 7 + 2 + 5 + 44 + 82 + 468 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7254482468193 and 7254482468202.

It is not an unprimeable number, because it can be changed into a prime (7254482468251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856789055 + ... + 1856792961.

It is an arithmetic number, because the mean of its divisors is an integer number (73094890050).

Almost surely, 2^{7254482468256} 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 7254482468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525664167200).

7254482468256 is an abundant number, since it is smaller than the sum of its proper divisors (13796845866144).

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

7254482468256 is a wasteful number, since it uses less digits than its factorization.

7254482468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4617 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 63.

The spelling of 7254482468256 in words is "seven trillion, two hundred fifty-four billion, four hundred eighty-two million, four hundred sixty-eight thousand, two hundred fifty-six".