115222052450241 has 128 divisors (see below), whose sum is σ = 194229458841600. Its totient is φ = 66895557696000.

The previous prime is 115222052450221. The next prime is 115222052450249. The reversal of 115222052450241 is 142054250222511.

It is a happy number.

115222052450241 is a `hidden beast` number, since 1 + 1 + 5 + 22 + 20 + 524 + 50 + 2 + 41 = 666.

It is not a de Polignac number, because 115222052450241 - 2¹⁴ = 115222052433857 is a prime.

It is a super-2 number, since 2×115222052450241² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115222052450196 and 115222052450205.

It is not an unprimeable number, because it can be changed into a prime (115222052450249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253505095 + ... + 253959203.

It is an arithmetic number, because the mean of its divisors is an integer number (1517417647200).

Almost surely, 2^{115222052450241} is an apocalyptic number.

115222052450241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115222052450241 is a deficient number, since it is larger than the sum of its proper divisors (79007406391359).

115222052450241 is a wasteful number, since it uses less digits than its factorization.

115222052450241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454548 (or 454542 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 115222052450241 in words is "one hundred fifteen trillion, two hundred twenty-two billion, fifty-two million, four hundred fifty thousand, two hundred forty-one".