189187700720704 has 567 divisors, whose sum is σ = 466974086233221. Its totient is φ = 75819492080640.

The previous prime is 189187700720687. The next prime is 189187700720719. The reversal of 189187700720704 is 407027007781981.

The square root of 189187700720704 is 13754552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2084697047104 + 187103003673600 = 1443848^2 + 13678560^2 .

It is a super-2 number, since 2×189187700720704² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1045235915494 + ... + 1045235915674.

Almost surely, 2^{189187700720704} is an apocalyptic number.

189187700720704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

189187700720704 is the 13754552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189187700720704

189187700720704 is an abundant number, since it is smaller than the sum of its proper divisors (277786385512517).

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

189187700720704 is an frugal number, since it uses more digits than its factorization.

189187700720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 61.

The spelling of 189187700720704 in words is "one hundred eighty-nine trillion, one hundred eighty-seven billion, seven hundred million, seven hundred twenty thousand, seven hundred four".