254345101534340 has 24 divisors (see below), whose sum is σ = 534853396354200. Its totient is φ = 101599243826688.

The previous prime is 254345101534273. The next prime is 254345101534379. The reversal of 254345101534340 is 43435101543452.

254345101534340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54263171253316 + 200081930281024 = 7366354^2 + 14145032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 254345101534291 and 254345101534300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8674784165 + ... + 8674813484.

It is an arithmetic number, because the mean of its divisors is an integer number (22285558181425).

Almost surely, 2^{254345101534340} is an apocalyptic number.

254345101534340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254345101534340 is an abundant number, since it is smaller than the sum of its proper divisors (280508294819860).

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

254345101534340 is a wasteful number, since it uses less digits than its factorization.

254345101534340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17349598391 (or 17349598389 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 254345101534340 in words is "two hundred fifty-four trillion, three hundred forty-five billion, one hundred one million, five hundred thirty-four thousand, three hundred forty".