90627488969472 has 1944 divisors, whose sum is σ = 345633539011488. Its totient is φ = 23093241937920.

The previous prime is 90627488969449. The next prime is 90627488969513. The reversal of 90627488969472 is 27496988472609.

90627488969472 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 7 + 4 + 8 + 89 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 90627488969391 and 90627488969400.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 146884098508 + ... + 146884099124.

Almost surely, 2^{90627488969472} 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 90627488969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172816769505744).

90627488969472 is an abundant number, since it is smaller than the sum of its proper divisors (255006050042016).

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

90627488969472 is an frugal number, since it uses more digits than its factorization.

90627488969472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 90627488969472 in words is "ninety trillion, six hundred twenty-seven billion, four hundred eighty-eight million, nine hundred sixty-nine thousand, four hundred seventy-two".