254364465456 has 160 divisors (see below), whose sum is σ = 756240883200. Its totient is φ = 81762105600.

The previous prime is 254364465413. The next prime is 254364465457. The reversal of 254364465456 is 654564463452.

254364465456 is a `hidden beast` number, since 2 + 54 + 3 + 6 + 4 + 46 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (254364465457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10348381 + ... + 10372931.

It is an arithmetic number, because the mean of its divisors is an integer number (4726505520).

Almost surely, 2^254364465456 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 254364465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378120441600).

254364465456 is an abundant number, since it is smaller than the sum of its proper divisors (501876417744).

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

254364465456 is a wasteful number, since it uses less digits than its factorization.

254364465456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25424 (or 25412 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 54.

The spelling of 254364465456 in words is "two hundred fifty-four billion, three hundred sixty-four million, four hundred sixty-five thousand, four hundred fifty-six".