90385128308241 has 48 divisors (see below), whose sum is σ = 141501335574144. Its totient is φ = 55264968686592.

The previous prime is 90385128308227. The next prime is 90385128308303. The reversal of 90385128308241 is 14280382158309.

90385128308241 is a `hidden beast` number, since 9 + 0 + 3 + 8 + 512 + 8 + 3 + 0 + 82 + 41 = 666.

It is not a de Polignac number, because 90385128308241 - 2¹⁰ = 90385128307217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90385128308201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44872545 + ... + 46843521.

It is an arithmetic number, because the mean of its divisors is an integer number (2947944491128).

Almost surely, 2^{90385128308241} is an apocalyptic number.

It is an amenable number.

90385128308241 is a deficient number, since it is larger than the sum of its proper divisors (51116207265903).

90385128308241 is a wasteful number, since it uses less digits than its factorization.

90385128308241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973510 (or 1973507 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 90385128308241 in words is "ninety trillion, three hundred eighty-five billion, one hundred twenty-eight million, three hundred eight thousand, two hundred forty-one".