90069471319968 has 288 divisors, whose sum is σ = 304603597823616. Its totient is φ = 25646300310528.

The previous prime is 90069471319921. The next prime is 90069471319987. The reversal of 90069471319968 is 86991317496009.

It is a happy number.

90069471319968 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 9 + 471 + 3 + 1 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90069471319968² (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 a junction number, because it is equal to n+sod(n) for n = 90069471319896 and 90069471319905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13124830 + ... + 18772322.

It is an arithmetic number, because the mean of its divisors is an integer number (1057651381332).

Almost surely, 2^{90069471319968} 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 90069471319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152301798911808).

90069471319968 is an abundant number, since it is smaller than the sum of its proper divisors (214534126503648).

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

90069471319968 is a wasteful number, since it uses less digits than its factorization.

90069471319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647818 (or 5647798 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 90069471319968 in words is "ninety trillion, sixty-nine billion, four hundred seventy-one million, three hundred nineteen thousand, nine hundred sixty-eight".