189101952000 has 1760 divisors, whose sum is σ = 804931231104. Its totient is φ = 43794432000.

The previous prime is 189101951999. The next prime is 189101952001. The reversal of 189101952000 is 259101981.

It is an interprime number because it is at equal distance from previous prime (189101951999) and next prime (189101952001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189101952001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3100031970 + ... + 3100032030.

Almost surely, 2^189101952000 is an apocalyptic number.

189101952000 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 189101952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402465615552).

189101952000 is an abundant number, since it is smaller than the sum of its proper divisors (615829279104).

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

189101952000 is a wasteful number, since it uses less digits than its factorization.

189101952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 189101952000 in words is "one hundred eighty-nine billion, one hundred one million, nine hundred fifty-two thousand".