189513389463552 has 768 divisors, whose sum is σ = 702192076185600. Its totient is φ = 49063578992640.

The previous prime is 189513389463539. The next prime is 189513389463557. The reversal of 189513389463552 is 255364983315981.

189513389463552 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 1 + 3 + 3 + 8 + 9 + 4 + 63 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189513389463557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307069653 + ... + 1307214635.

It is an arithmetic number, because the mean of its divisors is an integer number (914312599200).

Almost surely, 2^{189513389463552} is an apocalyptic number.

189513389463552 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 189513389463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351096038092800).

189513389463552 is an abundant number, since it is smaller than the sum of its proper divisors (512678686722048).

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

189513389463552 is a wasteful number, since it uses less digits than its factorization.

189513389463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145339 (or 145313 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 189513389463552 in words is "one hundred eighty-nine trillion, five hundred thirteen billion, three hundred eighty-nine million, four hundred sixty-three thousand, five hundred fifty-two".