10018825344 has 384 divisors, whose sum is σ = 32937840000. Its totient is φ = 2895298560.

The previous prime is 10018825321. The next prime is 10018825351. The reversal of 10018825344 is 44352881001.

10018825344 is a `hidden beast` number, since 100 + 18 + 8 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10018825344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10018825299 and 10018825308.

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, 50345757 + ... + 50345955.

It is an arithmetic number, because the mean of its divisors is an integer number (85775625).

Almost surely, 2^10018825344 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 10018825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468920000).

10018825344 is an abundant number, since it is smaller than the sum of its proper divisors (22919014656).

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

10018825344 is a wasteful number, since it uses less digits than its factorization.

10018825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10018825344 in words is "ten billion, eighteen million, eight hundred twenty-five thousand, three hundred forty-four".