189337716798048 has 576 divisors, whose sum is σ = 684488718950400. Its totient is φ = 48294041149440.

The previous prime is 189337716798001. The next prime is 189337716798101. The reversal of 189337716798048 is 840897617733981.

189337716798048 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 377 + 167 + 9 + 80 + 4 + 8 = 666.

It is a super-2 number, since 2×189337716798048² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307156413 + ... + 1307301251.

It is an arithmetic number, because the mean of its divisors is an integer number (1188348470400).

Almost surely, 2^{189337716798048} is an apocalyptic number.

189337716798048 is a gapful number since it is divisible by the number (18) 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 189337716798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342244359475200).

189337716798048 is an abundant number, since it is smaller than the sum of its proper divisors (495151002152352).

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

189337716798048 is a wasteful number, since it uses less digits than its factorization.

189337716798048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146515 (or 146504 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 189337716798048 in words is "one hundred eighty-nine trillion, three hundred thirty-seven billion, seven hundred sixteen million, seven hundred ninety-eight thousand, forty-eight".