249128239304032 has 96 divisors (see below), whose sum is σ = 549715883351040. Its totient is φ = 110167086382080.

The previous prime is 249128239304027. The next prime is 249128239304057. The reversal of 249128239304032 is 230403932821942.

It is a happy number.

It is a super-2 number, since 2×249128239304032² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42322557 + ... + 47848252.

It is an arithmetic number, because the mean of its divisors is an integer number (5726207118240).

Almost surely, 2^{249128239304032} is an apocalyptic number.

249128239304032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

249128239304032 is an abundant number, since it is smaller than the sum of its proper divisors (300587644047008).

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

249128239304032 is a wasteful number, since it uses less digits than its factorization.

249128239304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90171044 (or 90171036 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 249128239304032 in words is "two hundred forty-nine trillion, one hundred twenty-eight billion, two hundred thirty-nine million, three hundred four thousand, thirty-two".