18630065857536 has 495 divisors, whose sum is σ = 64746201891657. Its totient is φ = 5320389795840.

The previous prime is 18630065857493. The next prime is 18630065857567. The reversal of 18630065857536 is 63575856003681.

It is a happy number.

The square root of 18630065857536 is 4316256.

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

18630065857536 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 0 + 0 + 6 + 58 + 575 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17770069287936 + 859996569600 = 4215456^2 + 927360^2 .

It is a super-3 number, since 3×18630065857536³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8701571026 + ... + 8701573166.

Almost surely, 2^{18630065857536} is an apocalyptic number.

18630065857536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18630065857536 is the 4316256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18630065857536

18630065857536 is an abundant number, since it is smaller than the sum of its proper divisors (46116136034121).

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

18630065857536 is an frugal number, since it uses more digits than its factorization.

18630065857536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 18630065857536 in words is "eighteen trillion, six hundred thirty billion, sixty-five million, eight hundred fifty-seven thousand, five hundred thirty-six".