90368145117 has 12 divisors (see below), whose sum is σ = 131363179740. Its totient is φ = 59861700288.

The previous prime is 90368145103. The next prime is 90368145209. The reversal of 90368145117 is 71154186309.

90368145117 is a `hidden beast` number, since 90 + 36 + 8 + 14 + 511 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58674888441 + 31693256676 = 242229^2 + 178026^2 .

It is not a de Polignac number, because 90368145117 - 2¹¹ = 90368143069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90368145617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31975992 + ... + 31978817.

It is an arithmetic number, because the mean of its divisors is an integer number (10946931645).

Almost surely, 2^90368145117 is an apocalyptic number.

It is an amenable number.

90368145117 is a deficient number, since it is larger than the sum of its proper divisors (40995034623).

90368145117 is a wasteful number, since it uses less digits than its factorization.

90368145117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63954972 (or 63954969 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90368145117 in words is "ninety billion, three hundred sixty-eight million, one hundred forty-five thousand, one hundred seventeen".