257073244849008 has 1120 divisors, whose sum is σ = 882438087506432. Its totient is φ = 71002407168000.

The previous prime is 257073244848877. The next prime is 257073244849009. The reversal of 257073244849008 is 800948442370752.

It is a happy number.

257073244849008 is a `hidden beast` number, since 2 + 5 + 70 + 7 + 32 + 4 + 48 + 490 + 0 + 8 = 666.

257073244849008 is digitally balanced in base 2, because in such base 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257073244849009) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 244598710083 + ... + 244598711133.

Almost surely, 2^{257073244849008} is an apocalyptic number.

257073244849008 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 257073244849008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441219043753216).

257073244849008 is an abundant number, since it is smaller than the sum of its proper divisors (625364842657424).

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

257073244849008 is a wasteful number, since it uses less digits than its factorization.

257073244849008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 257073244849008 in words is "two hundred fifty-seven trillion, seventy-three billion, two hundred forty-four million, eight hundred forty-nine thousand, eight".