189000914854752 has 2592 divisors, whose sum is σ = 765880467416064. Its totient is φ = 43652547993600.

The previous prime is 189000914854711. The next prime is 189000914854831. The reversal of 189000914854752 is 257458419000981.

189000914854752 is a `hidden beast` number, since 1 + 89 + 0 + 0 + 0 + 9 + 1 + 4 + 8 + 547 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 189000914854752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 249670957158 + ... + 249670957914.

It is an arithmetic number, because the mean of its divisors is an integer number (295478575392).

Almost surely, 2^{189000914854752} is an apocalyptic number.

189000914854752 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 189000914854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382940233708032).

189000914854752 is an abundant number, since it is smaller than the sum of its proper divisors (576879552561312).

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

189000914854752 is a wasteful number, since it uses less digits than its factorization.

189000914854752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

It can be divided in two parts, 1890009 and 14854752, that added together give a palindrome (16744761).

The spelling of 189000914854752 in words is "one hundred eighty-nine trillion, nine hundred fourteen million, eight hundred fifty-four thousand, seven hundred fifty-two".