254905311690 has 256 divisors, whose sum is σ = 718485258240. Its totient is φ = 64213585920.

The previous prime is 254905311679. The next prime is 254905311691. The reversal of 254905311690 is 96113509452.

254905311690 is a `hidden beast` number, since 2 + 54 + 9 + 0 + 531 + 1 + 69 + 0 = 666.

254905311690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254905311690² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (254905311691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226985469 + ... + 226986591.

It is an arithmetic number, because the mean of its divisors is an integer number (2806583040).

Almost surely, 2^254905311690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254905311690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359242629120).

254905311690 is an abundant number, since it is smaller than the sum of its proper divisors (463579946550).

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

254905311690 is a wasteful number, since it uses less digits than its factorization.

254905311690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 254905311690 in words is "two hundred fifty-four billion, nine hundred five million, three hundred eleven thousand, six hundred ninety".