189951962112 has 440 divisors, whose sum is σ = 629128942992. Its totient is φ = 56600985600.

The previous prime is 189951962069. The next prime is 189951962141. The reversal of 189951962112 is 211269159981.

189951962112 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 5 + 1 + 9 + 621 + 1 + 2 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55653718 + ... + 55657130.

Almost surely, 2^189951962112 is an apocalyptic number.

189951962112 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 189951962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314564471496).

189951962112 is an abundant number, since it is smaller than the sum of its proper divisors (439176980880).

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

189951962112 is a wasteful number, since it uses less digits than its factorization.

189951962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3490 counting only the distinct ones).

The product of its digits is 699840, while the sum is 54.

The spelling of 189951962112 in words is "one hundred eighty-nine billion, nine hundred fifty-one million, nine hundred sixty-two thousand, one hundred twelve".