188345014272 has 576 divisors, whose sum is σ = 608156640000. Its totient is φ = 55881695232.

The previous prime is 188345014229. The next prime is 188345014283. The reversal of 188345014272 is 272410543881.

188345014272 is a `hidden beast` number, since 1 + 8 + 8 + 34 + 501 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×188345014272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 539670354 + ... + 539670702.

It is an arithmetic number, because the mean of its divisors is an integer number (1055827500).

Almost surely, 2^188345014272 is an apocalyptic number.

188345014272 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 188345014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304078320000).

188345014272 is an abundant number, since it is smaller than the sum of its proper divisors (419811625728).

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

188345014272 is a wasteful number, since it uses less digits than its factorization.

188345014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 188345014272 in words is "one hundred eighty-eight billion, three hundred forty-five million, fourteen thousand, two hundred seventy-two".