249359228561664 has 1296 divisors, whose sum is σ = 850639349693952. Its totient is φ = 69939102744576.

The previous prime is 249359228561633. The next prime is 249359228561713. The reversal of 249359228561664 is 466165822953942.

249359228561664 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 59 + 2 + 2 + 8 + 561 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 249359228561592 and 249359228561601.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30177803997 + ... + 30177812259.

It is an arithmetic number, because the mean of its divisors is an integer number (656357522912).

Almost surely, 2^{249359228561664} is an apocalyptic number.

249359228561664 is a gapful number since it is divisible by the number (24) 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 249359228561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425319674846976).

249359228561664 is an abundant number, since it is smaller than the sum of its proper divisors (601280121132288).

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

249359228561664 is a wasteful number, since it uses less digits than its factorization.

249359228561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8442 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 249359228561664 in words is "two hundred forty-nine trillion, three hundred fifty-nine billion, two hundred twenty-eight million, five hundred sixty-one thousand, six hundred sixty-four".