18514990077696 has 1440 divisors, whose sum is σ = 68168192744960. Its totient is φ = 4881152212992.

The previous prime is 18514990077667. The next prime is 18514990077697. The reversal of 18514990077696 is 69677009941581.

18514990077696 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 499 + 0 + 0 + 77 + 69 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18514990077697) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 17923513596 + ... + 17923514628.

Almost surely, 2^{18514990077696} is an apocalyptic number.

18514990077696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18514990077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084096372480).

18514990077696 is an abundant number, since it is smaller than the sum of its proper divisors (49653202667264).

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

18514990077696 is a wasteful number, since it uses less digits than its factorization.

18514990077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 18514990077696 in words is "eighteen trillion, five hundred fourteen billion, nine hundred ninety million, seventy-seven thousand, six hundred ninety-six".