90771214701384 has 360 divisors, whose sum is σ = 301438404153810. Its totient is φ = 25445275075584.

The previous prime is 90771214701379. The next prime is 90771214701443. The reversal of 90771214701384 is 48310741217709.

90771214701384 is a `hidden beast` number, since 9 + 0 + 7 + 71 + 21 + 470 + 1 + 3 + 84 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80362654688484 + 10408560012900 = 8964522^2 + 3226230^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 90771214701384.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 88682512 + ... + 89700224.

Almost surely, 2^{90771214701384} 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 90771214701384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150719202076905).

90771214701384 is an abundant number, since it is smaller than the sum of its proper divisors (210667189452426).

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

90771214701384 is a wasteful number, since it uses less digits than its factorization.

90771214701384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017851 (or 1017778 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 90771214701384 in words is "ninety trillion, seven hundred seventy-one billion, two hundred fourteen million, seven hundred one thousand, three hundred eighty-four".