187981117784064 has 1104 divisors, whose sum is σ = 641957947787520. Its totient is φ = 54487280517120.

The previous prime is 187981117784063. The next prime is 187981117784071. The reversal of 187981117784064 is 460487711189781.

187981117784064 is a `hidden beast` number, since 1 + 8 + 79 + 81 + 1 + 1 + 7 + 78 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1104).

It is a super-2 number, since 2×187981117784064² (a number of 29 digits) contains 22 as substring.

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 = 187981117783983 and 187981117784001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187981117784063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8173092077557 + ... + 8173092077579.

Almost surely, 2^{187981117784064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187981117784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320978973893760).

187981117784064 is an abundant number, since it is smaller than the sum of its proper divisors (453976830003456).

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

187981117784064 is an frugal number, since it uses more digits than its factorization.

187981117784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 187981117784064 in words is "one hundred eighty-seven trillion, nine hundred eighty-one billion, one hundred seventeen million, seven hundred eighty-four thousand, sixty-four".