616123606500 has 144 divisors (see below), whose sum is σ = 1948287375216. Its totient is φ = 163908864000.

The previous prime is 616123606489. The next prime is 616123606537. The reversal of 616123606500 is 5606321616.

616123606500 is a `hidden beast` number, since 6 + 1 + 612 + 36 + 0 + 6 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 559695504384 + 56428102116 = 748128^2 + 237546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1731892 + ... + 2057108.

It is an arithmetic number, because the mean of its divisors is an integer number (13529773439).

Almost surely, 2^616123606500 is an apocalyptic number.

616123606500 is a gapful number since it is divisible by the number (60) 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 616123606500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974143687608).

616123606500 is an abundant number, since it is smaller than the sum of its proper divisors (1332163768716).

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

616123606500 is a wasteful number, since it uses less digits than its factorization.

616123606500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325663 (or 325648 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 616123606500 in words is "six hundred sixteen billion, one hundred twenty-three million, six hundred six thousand, five hundred".