90451740288 has 128 divisors (see below), whose sum is σ = 295707726720. Its totient is φ = 23855394816.

The previous prime is 90451740221. The next prime is 90451740289. The reversal of 90451740288 is 88204715409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×90451740288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (90451740289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259295 + ... + 1329182.

It is an arithmetic number, because the mean of its divisors is an integer number (2310216615).

Almost surely, 2^90451740288 is an apocalyptic number.

It is an amenable number.

90451740288 is an abundant number, since it is smaller than the sum of its proper divisors (205255986432).

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

90451740288 is a wasteful number, since it uses less digits than its factorization.

90451740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588514 (or 2588502 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 90451740288 in words is "ninety billion, four hundred fifty-one million, seven hundred forty thousand, two hundred eighty-eight".