10488684384 has 96 divisors (see below), whose sum is σ = 31011251040. Its totient is φ = 3448313856.

The previous prime is 10488684343. The next prime is 10488684389. The reversal of 10488684384 is 48348688401.

10488684384 is a `hidden beast` number, since 1 + 0 + 488 + 6 + 84 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10488684384² (a number of 21 digits) contains 22 as substring.

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 10488684384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488684389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20077 + ... + 146220.

It is an arithmetic number, because the mean of its divisors is an integer number (323033865).

Almost surely, 2^10488684384 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 10488684384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505625520).

10488684384 is an abundant number, since it is smaller than the sum of its proper divisors (20522566656).

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

10488684384 is a wasteful number, since it uses less digits than its factorization.

10488684384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166389 (or 166375 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 10488684384 in words is "ten billion, four hundred eighty-eight million, six hundred eighty-four thousand, three hundred eighty-four".