189029343776640 has 256 divisors, whose sum is σ = 604311630048000. Its totient is φ = 50258996953088.

The previous prime is 189029343776591. The next prime is 189029343776641. The reversal of 189029343776640 is 46677343920981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189029343776641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437540016 + ... + 1437671504.

It is an arithmetic number, because the mean of its divisors is an integer number (2360592304875).

Almost surely, 2^{189029343776640} is an apocalyptic number.

189029343776640 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 189029343776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302155815024000).

189029343776640 is an abundant number, since it is smaller than the sum of its proper divisors (415282286271360).

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

189029343776640 is a wasteful number, since it uses less digits than its factorization.

189029343776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133717 (or 133705 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 189029343776640 in words is "one hundred eighty-nine trillion, twenty-nine billion, three hundred forty-three million, seven hundred seventy-six thousand, six hundred forty".