189949178345472 has 2688 divisors, whose sum is σ = 740631098188800. Its totient is φ = 47310599356416.

The previous prime is 189949178345471. The next prime is 189949178345483. The reversal of 189949178345472 is 274543871949981.

189949178345472 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 4 + 9 + 17 + 83 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 189949178345391 and 189949178345400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189949178345471) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 278110070443 + ... + 278110071125.

It is an arithmetic number, because the mean of its divisors is an integer number (275532402600).

Almost surely, 2^{189949178345472} is an apocalyptic number.

189949178345472 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 189949178345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370315549094400).

189949178345472 is an abundant number, since it is smaller than the sum of its proper divisors (550681919843328).

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

189949178345472 is an equidigital number, since it uses as much as digits as its factorization.

189949178345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 820 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 189949178345472 in words is "one hundred eighty-nine trillion, nine hundred forty-nine billion, one hundred seventy-eight million, three hundred forty-five thousand, four hundred seventy-two".