189974914618944 has 1344 divisors, whose sum is σ = 669603354427392. Its totient is φ = 47039698944000.

The previous prime is 189974914618921. The next prime is 189974914618999. The reversal of 189974914618944 is 449816419479981.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24617712174 + ... + 24617719890.

It is an arithmetic number, because the mean of its divisors is an integer number (498216781568).

Almost surely, 2^{189974914618944} is an apocalyptic number.

189974914618944 is a gapful number since it is divisible by the number (14) 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 189974914618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334801677213696).

189974914618944 is an abundant number, since it is smaller than the sum of its proper divisors (479628439808448).

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

189974914618944 is a wasteful number, since it uses less digits than its factorization.

189974914618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7967 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 84.

The spelling of 189974914618944 in words is "one hundred eighty-nine trillion, nine hundred seventy-four billion, nine hundred fourteen million, six hundred eighteen thousand, nine hundred forty-four".