10490291832384 has 567 divisors, whose sum is σ = 37900790482113. Its totient is φ = 2764804783104.

The previous prime is 10490291832323. The next prime is 10490291832409. The reversal of 10490291832384 is 48323819209401.

The square root of 10490291832384 is 3238872.

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

10490291832384 is a `hidden beast` number, since 1 + 0 + 49 + 0 + 291 + 83 + 238 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1551818318400 + 8938473513984 = 1245720^2 + 2989728^2 .

It is a super-2 number, since 2×10490291832384² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10490291832384.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7073695707 + ... + 7073697189.

Almost surely, 2^{10490291832384} is an apocalyptic number.

10490291832384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10490291832384 is the 3238872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490291832384

10490291832384 is an abundant number, since it is smaller than the sum of its proper divisors (27410498649729).

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

10490291832384 is an equidigital number, since it uses as much as digits as its factorization.

10490291832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10490291832384 in words is "ten trillion, four hundred ninety billion, two hundred ninety-one million, eight hundred thirty-two thousand, three hundred eighty-four".