187604131688064 has 1536 divisors, whose sum is σ = 712428955200000. Its totient is φ = 48541717905408.

The previous prime is 187604131688059. The next prime is 187604131688101. The reversal of 187604131688064 is 460886131406781.

187604131688064 is a `hidden beast` number, since 1 + 8 + 7 + 604 + 1 + 3 + 16 + 8 + 8 + 0 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 187604131687992 and 187604131688010.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10617690622 + ... + 10617708290.

It is an arithmetic number, because the mean of its divisors is an integer number (463820934375).

Almost surely, 2^{187604131688064} is an apocalyptic number.

187604131688064 is a gapful number since it is divisible by the number (14) 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 187604131688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356214477600000).

187604131688064 is an abundant number, since it is smaller than the sum of its proper divisors (524824823511936).

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

187604131688064 is a wasteful number, since it uses less digits than its factorization.

187604131688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17747 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 187604131688064 in words is "one hundred eighty-seven trillion, six hundred four billion, one hundred thirty-one million, six hundred eighty-eight thousand, sixty-four".