616455554616 has 256 divisors, whose sum is σ = 1986239232000. Its totient is φ = 175077826560.

The previous prime is 616455554593. The next prime is 616455554621.

616455554616 is a `hidden beast` number, since 6 + 1 + 6 + 45 + 55 + 546 + 1 + 6 = 666.

616455554616 is nontrivially palindromic in base 10.

616455554616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9621760 + ... + 9685616.

It is an arithmetic number, because the mean of its divisors is an integer number (7758747000).

Almost surely, 2^616455554616 is an apocalyptic number.

616455554616 is a gapful number since it is divisible by the number (66) 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 616455554616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993119616000).

616455554616 is an abundant number, since it is smaller than the sum of its proper divisors (1369783677384).

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

616455554616 is a wasteful number, since it uses less digits than its factorization.

616455554616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64139 (or 64129 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 616455554616 in words is "six hundred sixteen billion, four hundred fifty-five million, five hundred fifty-four thousand, six hundred sixteen".