188434821464064 has 2400 divisors, whose sum is σ = 710331015905280. Its totient is φ = 48556123619328.

The previous prime is 188434821464059. The next prime is 188434821464069. The reversal of 188434821464064 is 460464128434881.

188434821464064 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 3 + 4 + 8 + 214 + 6 + 406 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (188434821464059) and next prime (188434821464069).

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 = 188434821463992 and 188434821464010.

It is not an unprimeable number, because it can be changed into a prime (188434821464069) 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 159 ways as a sum of consecutive naturals, for example, 393392111377 + ... + 393392111855.

Almost surely, 2^{188434821464064} is an apocalyptic number.

188434821464064 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 188434821464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355165507952640).

188434821464064 is an abundant number, since it is smaller than the sum of its proper divisors (521896194441216).

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

188434821464064 is an equidigital number, since it uses as much as digits as its factorization.

188434821464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 188434821464064 in words is "one hundred eighty-eight trillion, four hundred thirty-four billion, eight hundred twenty-one million, four hundred sixty-four thousand, sixty-four".