90805768272414 has 128 divisors (see below), whose sum is σ = 228766448064000. Its totient is φ = 26467849142784.

The previous prime is 90805768272413. The next prime is 90805768272467. The reversal of 90805768272414 is 41427286750809.

It is a happy number.

90805768272414 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 5 + 76 + 82 + 72 + 414 = 666.

90805768272414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90805768272414² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90805768272413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196891974 + ... + 197352630.

It is an arithmetic number, because the mean of its divisors is an integer number (1787237875500).

Almost surely, 2^{90805768272414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90805768272414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114383224032000).

90805768272414 is an abundant number, since it is smaller than the sum of its proper divisors (137960679791586).

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

90805768272414 is a wasteful number, since it uses less digits than its factorization.

90805768272414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475479 (or 475473 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 90805768272414 in words is "ninety trillion, eight hundred five billion, seven hundred sixty-eight million, two hundred seventy-two thousand, four hundred fourteen".