209468089152 has 560 divisors, whose sum is σ = 747376134912. Its totient is φ = 56713789440.

The previous prime is 209468089147. The next prime is 209468089163. The reversal of 209468089152 is 251980864902.

It is a happy number.

209468089152 is a `hidden beast` number, since 20 + 9 + 468 + 0 + 8 + 9 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94311402 + ... + 94313622.

Almost surely, 2^209468089152 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 209468089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373688067456).

209468089152 is an abundant number, since it is smaller than the sum of its proper divisors (537908045760).

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

209468089152 is a wasteful number, since it uses less digits than its factorization.

209468089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 209468089152 in words is "two hundred nine billion, four hundred sixty-eight million, eighty-nine thousand, one hundred fifty-two".