605304853938432 has 288 divisors, whose sum is σ = 1847833535493120. Its totient is φ = 195249180672000.

The previous prime is 605304853938361. The next prime is 605304853938457. The reversal of 605304853938432 is 234839358403506.

It is a happy number.

605304853938432 is a `hidden beast` number, since 6 + 0 + 5 + 30 + 4 + 8 + 539 + 38 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 605304853938432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4679850082 + ... + 4679979422.

Almost surely, 2^{605304853938432} is an apocalyptic number.

605304853938432 is a gapful number since it is divisible by the number (62) 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 605304853938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923916767746560).

605304853938432 is an abundant number, since it is smaller than the sum of its proper divisors (1242528681554688).

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

605304853938432 is a wasteful number, since it uses less digits than its factorization.

605304853938432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151238 (or 151218 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 605304853938432 in words is "six hundred five trillion, three hundred four billion, eight hundred fifty-three million, nine hundred thirty-eight thousand, four hundred thirty-two".