90311211424 has 96 divisors (see below), whose sum is σ = 208820384640. Its totient is φ = 37635591168.

The previous prime is 90311211421. The next prime is 90311211467. The reversal of 90311211424 is 42411211309.

It is a super-2 number, since 2×90311211424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 90311211392 and 90311211401.

It is not an unprimeable number, because it can be changed into a prime (90311211421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23113279 + ... + 23117185.

It is an arithmetic number, because the mean of its divisors is an integer number (2175212340).

Almost surely, 2^90311211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90311211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104410192320).

90311211424 is an abundant number, since it is smaller than the sum of its proper divisors (118509173216).

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

90311211424 is a wasteful number, since it uses less digits than its factorization.

90311211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 90311211424 in words is "ninety billion, three hundred eleven million, two hundred eleven thousand, four hundred twenty-four".