189147093120 has 384 divisors, whose sum is σ = 663385282560. Its totient is φ = 49653301248.

The previous prime is 189147093077. The next prime is 189147093133. The reversal of 189147093120 is 21390741981.

189147093120 is a `hidden beast` number, since 1 + 8 + 91 + 470 + 93 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183104124 + ... + 183105156.

It is an arithmetic number, because the mean of its divisors is an integer number (1727565840).

Almost surely, 2^189147093120 is an apocalyptic number.

189147093120 is a gapful number since it is divisible by the number (10) 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 189147093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331692641280).

189147093120 is an abundant number, since it is smaller than the sum of its proper divisors (474238189440).

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

189147093120 is a wasteful number, since it uses less digits than its factorization.

189147093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 189147093120 in words is "one hundred eighty-nine billion, one hundred forty-seven million, ninety-three thousand, one hundred twenty".