188490317645952 has 480 divisors, whose sum is σ = 652713326781120. Its totient is φ = 53838986148864.

The previous prime is 188490317645947. The next prime is 188490317645989. The reversal of 188490317645952 is 259546713094881.

188490317645952 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 90 + 31 + 7 + 6 + 459 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1840548733 + ... + 1840651139.

It is an arithmetic number, because the mean of its divisors is an integer number (1359819430794).

It is a 2-persistent number, because it is pandigital, and so is 2⋅188490317645952 = 376980635291904, but 3⋅188490317645952 = 565470952937856 is not.

Almost surely, 2^{188490317645952} is an apocalyptic number.

188490317645952 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 188490317645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326356663390560).

188490317645952 is an abundant number, since it is smaller than the sum of its proper divisors (464223009135168).

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

188490317645952 is a wasteful number, since it uses less digits than its factorization.

188490317645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106070 (or 106042 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 188490317645952 in words is "one hundred eighty-eight trillion, four hundred ninety billion, three hundred seventeen million, six hundred forty-five thousand, nine hundred fifty-two".