189900329472 has 1200 divisors, whose sum is σ = 731527822080. Its totient is φ = 48641015808.

The previous prime is 189900329461. The next prime is 189900329501. The reversal of 189900329472 is 274923009981.

189900329472 is a `hidden beast` number, since 1 + 89 + 90 + 0 + 3 + 2 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 794561929 + ... + 794562167.

Almost surely, 2^189900329472 is an apocalyptic number.

189900329472 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 189900329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365763911040).

189900329472 is an abundant number, since it is smaller than the sum of its proper divisors (541627492608).

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

189900329472 is a wasteful number, since it uses less digits than its factorization.

189900329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 189900329472 in words is "one hundred eighty-nine billion, nine hundred million, three hundred twenty-nine thousand, four hundred seventy-two".