90774391076928 has 168 divisors, whose sum is σ = 281086822832088. Its totient is φ = 27842472050688.

The previous prime is 90774391076921. The next prime is 90774391076987. The reversal of 90774391076928 is 82967019347709.

90774391076928 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 439 + 107 + 69 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5410983127104 + 85363407949824 = 2326152^2 + 9239232^2 .

It is a super-2 number, since 2×90774391076928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (90774391076921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16747201 + ... + 21494592.

It is an arithmetic number, because the mean of its divisors is an integer number (1673135850191).

Almost surely, 2^{90774391076928} is an apocalyptic number.

It is an amenable number.

90774391076928 is an abundant number, since it is smaller than the sum of its proper divisors (190312431755160).

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

90774391076928 is a wasteful number, since it uses less digits than its factorization.

90774391076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38242141 (or 38242128 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 90774391076928 in words is "ninety trillion, seven hundred seventy-four billion, three hundred ninety-one million, seventy-six thousand, nine hundred twenty-eight".