90114234773760 has 864 divisors, whose sum is σ = 327596524295040. Its totient is φ = 23714684928000.

The previous prime is 90114234773753. The next prime is 90114234773789. The reversal of 90114234773760 is 6737743241109.

It is a happy number.

90114234773760 is a `hidden beast` number, since 9 + 0 + 114 + 23 + 477 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90114234773697 and 90114234773706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15806738910 + ... + 15806744610.

It is an arithmetic number, because the mean of its divisors is an integer number (379162643860).

Almost surely, 2^{90114234773760} is an apocalyptic number.

90114234773760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90114234773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163798262147520).

90114234773760 is an abundant number, since it is smaller than the sum of its proper divisors (237482289521280).

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

90114234773760 is an equidigital number, since it uses as much as digits as its factorization.

90114234773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 90114234773760 in words is "ninety trillion, one hundred fourteen billion, two hundred thirty-four million, seven hundred seventy-three thousand, seven hundred sixty".