616430449152 has 960 divisors, whose sum is σ = 2267131680000. Its totient is φ = 164316708864.

The previous prime is 616430449111. The next prime is 616430449253. The reversal of 616430449152 is 251944034616.

616430449152 is a `hidden beast` number, since 6 + 16 + 43 + 0 + 449 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 616430449098 and 616430449107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2291562874 + ... + 2291563142.

It is an arithmetic number, because the mean of its divisors is an integer number (2361595500).

Almost surely, 2^616430449152 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 616430449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133565840000).

616430449152 is an abundant number, since it is smaller than the sum of its proper divisors (1650701230848).

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

616430449152 is a wasteful number, since it uses less digits than its factorization.

616430449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 616430449152 in words is "six hundred sixteen billion, four hundred thirty million, four hundred forty-nine thousand, one hundred fifty-two".