616914148509 has 256 divisors, whose sum is σ = 1076369817600. Its totient is φ = 347036659200.

The previous prime is 616914148481. The next prime is 616914148519. The reversal of 616914148509 is 905841419616.

616914148509 is a `hidden beast` number, since 6 + 1 + 6 + 91 + 4 + 1 + 48 + 509 = 666.

It is not a de Polignac number, because 616914148509 - 2³¹ = 614766664861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616914148519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 977676624 + ... + 977677254.

It is an arithmetic number, because the mean of its divisors is an integer number (4204569600).

Almost surely, 2^616914148509 is an apocalyptic number.

616914148509 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

616914148509 is a deficient number, since it is larger than the sum of its proper divisors (459455669091).

616914148509 is a wasteful number, since it uses less digits than its factorization.

616914148509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 616914148509 in words is "six hundred sixteen billion, nine hundred fourteen million, one hundred forty-eight thousand, five hundred nine".