18099987430464 has 315 divisors, whose sum is σ = 55177885037583. Its totient is φ = 5866590385152.

The previous prime is 18099987430433. The next prime is 18099987430517. The reversal of 18099987430464 is 46403478999081.

The square root of 18099987430464 is 4254408.

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

18099987430464 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 9 + 98 + 74 + 3 + 0 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322633088064 + 17777354342400 = 568008^2 + 4216320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18099987430392 and 18099987430401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11333742114 + ... + 11333743710.

Almost surely, 2^{18099987430464} is an apocalyptic number.

18099987430464 is the 4254408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18099987430464

18099987430464 is an abundant number, since it is smaller than the sum of its proper divisors (37077897607119).

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

18099987430464 is an frugal number, since it uses more digits than its factorization.

18099987430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 18099987430464 in words is "eighteen trillion, ninety-nine billion, nine hundred eighty-seven million, four hundred thirty thousand, four hundred sixty-four".