241256564451 has 128 divisors (see below), whose sum is σ = 428813844480. Its totient is φ = 131159347200.

The previous prime is 241256564447. The next prime is 241256564453. The reversal of 241256564451 is 154465652142.

241256564451 is a `hidden beast` number, since 2 + 41 + 2 + 5 + 6 + 564 + 45 + 1 = 666.

It is not a de Polignac number, because 241256564451 - 2² = 241256564447 is a prime.

It is a super-3 number, since 3×241256564451³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241256564397 and 241256564406.

It is not an unprimeable number, because it can be changed into a prime (241256564453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209241891 + ... + 209243043.

It is an arithmetic number, because the mean of its divisors is an integer number (3350108160).

Almost surely, 2^241256564451 is an apocalyptic number.

241256564451 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

241256564451 is a deficient number, since it is larger than the sum of its proper divisors (187557280029).

241256564451 is a wasteful number, since it uses less digits than its factorization.

241256564451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 241256564451 in words is "two hundred forty-one billion, two hundred fifty-six million, five hundred sixty-four thousand, four hundred fifty-one".