90022470346368 has 2048 divisors, whose sum is σ = 341645230080000. Its totient is φ = 22754631352320.

The previous prime is 90022470346321. The next prime is 90022470346427. The reversal of 90022470346368 is 86364307422009.

90022470346368 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 247 + 0 + 34 + 6 + 368 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69408226296 + ... + 69408227592.

It is an arithmetic number, because the mean of its divisors is an integer number (166818960000).

Almost surely, 2^{90022470346368} 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 90022470346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170822615040000).

90022470346368 is an abundant number, since it is smaller than the sum of its proper divisors (251622759733632).

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

90022470346368 is a wasteful number, since it uses less digits than its factorization.

90022470346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 90022470346368 in words is "ninety trillion, twenty-two billion, four hundred seventy million, three hundred forty-six thousand, three hundred sixty-eight".