241232493275136 has 1536 divisors, whose sum is σ = 846808407244800. Its totient is φ = 67652178739200.

The previous prime is 241232493275089. The next prime is 241232493275153. The reversal of 241232493275136 is 631572394232142.

241232493275136 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 32 + 4 + 93 + 2 + 7 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

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 127 ways as a sum of consecutive naturals, for example, 52476067590 + ... + 52476072186.

It is an arithmetic number, because the mean of its divisors is an integer number (551307556800).

Almost surely, 2^{241232493275136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241232493275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423404203622400).

241232493275136 is an abundant number, since it is smaller than the sum of its proper divisors (605575913969664).

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

241232493275136 is a wasteful number, since it uses less digits than its factorization.

241232493275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4667 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 241232493275136 in words is "two hundred forty-one trillion, two hundred thirty-two billion, four hundred ninety-three million, two hundred seventy-five thousand, one hundred thirty-six".