616142016 has 336 divisors, whose sum is σ = 2182489920. Its totient is φ = 162201600.

The previous prime is 616141979. The next prime is 616142039. The reversal of 616142016 is 610241616.

616142016 is a `hidden beast` number, since 616 + 1 + 42 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6100366 + ... + 6100466.

Almost surely, 2^616142016 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 616142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091244960).

616142016 is an abundant number, since it is smaller than the sum of its proper divisors (1566347904).

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

616142016 is a wasteful number, since it uses less digits than its factorization.

616142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 616142016 is about 24822.2081209549. The cubic root of 616142016 is about 850.9295556212.

The spelling of 616142016 in words is "six hundred sixteen million, one hundred forty-two thousand, sixteen".