616546225416 has 256 divisors, whose sum is σ = 1763364556800. Its totient is φ = 177999494400.

The previous prime is 616546225369. The next prime is 616546225429. The reversal of 616546225416 is 614522645616.

It is a happy 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, 87736095 + ... + 87743121.

It is an arithmetic number, because the mean of its divisors is an integer number (6888142800).

Almost surely, 2^616546225416 is an apocalyptic number.

616546225416 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 616546225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881682278400).

616546225416 is an abundant number, since it is smaller than the sum of its proper divisors (1146818331384).

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

616546225416 is a wasteful number, since it uses less digits than its factorization.

616546225416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7276 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 616546225416 in words is "six hundred sixteen billion, five hundred forty-six million, two hundred twenty-five thousand, four hundred sixteen".