254513361648 has 320 divisors, whose sum is σ = 832526714880. Its totient is φ = 65197633536.

The previous prime is 254513361643. The next prime is 254513361667. The reversal of 254513361648 is 846163315452.

254513361648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 254513361597 and 254513361606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254513361643) 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 63 ways as a sum of consecutive naturals, for example, 135594886 + ... + 135596762.

It is an arithmetic number, because the mean of its divisors is an integer number (2601645984).

Almost surely, 2^254513361648 is an apocalyptic number.

254513361648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254513361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416263357440).

254513361648 is an abundant number, since it is smaller than the sum of its proper divisors (578013353232).

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

254513361648 is a wasteful number, since it uses less digits than its factorization.

254513361648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 254513361648 in words is "two hundred fifty-four billion, five hundred thirteen million, three hundred sixty-one thousand, six hundred forty-eight".