609531153408 has 616 divisors, whose sum is σ = 1927933641216. Its totient is φ = 192148070400.

The previous prime is 609531153349. The next prime is 609531153419. The reversal of 609531153408 is 804351135906.

609531153408 is a `hidden beast` number, since 6 + 0 + 95 + 3 + 1 + 153 + 408 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2249192313 + ... + 2249192583.

Almost surely, 2^609531153408 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 609531153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963966820608).

609531153408 is an abundant number, since it is smaller than the sum of its proper divisors (1318402487808).

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

609531153408 is a wasteful number, since it uses less digits than its factorization.

609531153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 609531153408 in words is "six hundred nine billion, five hundred thirty-one million, one hundred fifty-three thousand, four hundred eight".