189973082355264 has 2240 divisors, whose sum is σ = 681150728079360. Its totient is φ = 51817094184960.

The previous prime is 189973082355257. The next prime is 189973082355311. The reversal of 189973082355264 is 462553280379981.

189973082355264 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 7 + 3 + 0 + 8 + 2 + 3 + 552 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 189973082355192 and 189973082355201.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 153575652054 + ... + 153575653290.

It is an arithmetic number, because the mean of its divisors is an integer number (304085146464).

It is a 2-persistent number, because it is pandigital, and so is 2⋅189973082355264 = 379946164710528, but 3⋅189973082355264 = 569919247065792 is not.

Almost surely, 2^{189973082355264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189973082355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340575364039680).

189973082355264 is an abundant number, since it is smaller than the sum of its proper divisors (491177645724096).

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

189973082355264 is a wasteful number, since it uses less digits than its factorization.

189973082355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 189973082355264 in words is "one hundred eighty-nine trillion, nine hundred seventy-three billion, eighty-two million, three hundred fifty-five thousand, two hundred sixty-four".