254140401145456 has 160 divisors (see below), whose sum is σ = 588331920240000. Its totient is φ = 104049269538816.

The previous prime is 254140401145451. The next prime is 254140401145511. The reversal of 254140401145456 is 654541104041452.

254140401145456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254140401145451) 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, 123354000 + ... + 125397328.

It is an arithmetic number, because the mean of its divisors is an integer number (3677074501500).

Almost surely, 2^{254140401145456} 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 254140401145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294165960120000).

254140401145456 is an abundant number, since it is smaller than the sum of its proper divisors (334191519094544).

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

254140401145456 is a wasteful number, since it uses less digits than its factorization.

254140401145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043779 (or 2043773 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 46.

The spelling of 254140401145456 in words is "two hundred fifty-four trillion, one hundred forty billion, four hundred one million, one hundred forty-five thousand, four hundred fifty-six".