21189005145 has 288 divisors, whose sum is σ = 48440770560. Its totient is φ = 8376825600.

The previous prime is 21189005141. The next prime is 21189005153. The reversal of 21189005145 is 54150098112.

It is not a de Polignac number, because 21189005145 - 2² = 21189005141 is a prime.

It is a super-3 number, since 3×21189005145³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21189005141) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93343522 + ... + 93343748.

It is an arithmetic number, because the mean of its divisors is an integer number (168197120).

Almost surely, 2^21189005145 is an apocalyptic number.

It is an amenable number.

21189005145 is an abundant number, since it is smaller than the sum of its proper divisors (27251765415).

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

21189005145 is a wasteful number, since it uses less digits than its factorization.

21189005145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 21189005145 in words is "twenty-one billion, one hundred eighty-nine million, five thousand, one hundred forty-five".