90729511241616 has 225 divisors, whose sum is σ = 284365141346979. Its totient is φ = 27915401060352.

The previous prime is 90729511241609. The next prime is 90729511241623. The reversal of 90729511241616 is 61614211592709.

The square root of 90729511241616 is 9525204.

It is a perfect power (a square), and thus also a powerful number.

90729511241616 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 9 + 5 + 1 + 12 + 4 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (90729511241609) and next prime (90729511241623).

It can be written as a sum of positive squares in 4 ways, for example, as 22397464899216 + 68332046342400 = 4732596^2 + 8266320^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 4457785296 + ... + 4457805648.

Almost surely, 2^{90729511241616} is an apocalyptic number.

90729511241616 is the 9525204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90729511241616

90729511241616 is an abundant number, since it is smaller than the sum of its proper divisors (193635630105363).

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

90729511241616 is an frugal number, since it uses more digits than its factorization.

90729511241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40752 (or 20371 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 90729511241616 in words is "ninety trillion, seven hundred twenty-nine billion, five hundred eleven million, two hundred forty-one thousand, six hundred sixteen".