18605157090912 has 288 divisors, whose sum is σ = 63177724159200. Its totient is φ = 5311288958976.

The previous prime is 18605157090881. The next prime is 18605157090913. The reversal of 18605157090912 is 21909075150681.

It is a happy number.

18605157090912 is a `hidden beast` number, since 1 + 8 + 6 + 0 + 51 + 570 + 9 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18605157090913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50322664 + ... + 50691032.

It is an arithmetic number, because the mean of its divisors is an integer number (219367097775).

Almost surely, 2^{18605157090912} is an apocalyptic number.

18605157090912 is a gapful number since it is divisible by the number (12) 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 18605157090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31588862079600).

18605157090912 is an abundant number, since it is smaller than the sum of its proper divisors (44572567068288).

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

18605157090912 is a wasteful number, since it uses less digits than its factorization.

18605157090912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369595 (or 369574 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 18605157090912 in words is "eighteen trillion, six hundred five billion, one hundred fifty-seven million, ninety thousand, nine hundred twelve".