249555405584064 has 112 divisors (see below), whose sum is σ = 675895146633216. Its totient is φ = 81226338969600.

The previous prime is 249555405584053. The next prime is 249555405584137. The reversal of 249555405584064 is 460485504555942.

It is a junction number, because it is equal to n+sod(n) for n = 249555405583986 and 249555405584004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28192597 + ... + 35971284.

Almost surely, 2^{249555405584064} is an apocalyptic number.

249555405584064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249555405584064 is an abundant number, since it is smaller than the sum of its proper divisors (426339741049152).

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

249555405584064 is a wasteful number, since it uses less digits than its factorization.

249555405584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64164374 (or 64164364 counting only the distinct ones).

The product of its (nonzero) digits is 691200000, while the sum is 66.

The spelling of 249555405584064 in words is "two hundred forty-nine trillion, five hundred fifty-five billion, four hundred five million, five hundred eighty-four thousand, sixty-four".