242249508864 has 384 divisors, whose sum is σ = 795792816000. Its totient is φ = 72194457600.

The previous prime is 242249508859. The next prime is 242249508877. The reversal of 242249508864 is 468805942242.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 242249508864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37100352 + ... + 37106880.

It is an arithmetic number, because the mean of its divisors is an integer number (2072377125).

Almost surely, 2^242249508864 is an apocalyptic number.

242249508864 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 242249508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397896408000).

242249508864 is an abundant number, since it is smaller than the sum of its proper divisors (553543307136).

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

242249508864 is a wasteful number, since it uses less digits than its factorization.

242249508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 242249508864 in words is "two hundred forty-two billion, two hundred forty-nine million, five hundred eight thousand, eight hundred sixty-four".