1616537226312 has 144 divisors (see below), whose sum is σ = 4718224508400. Its totient is φ = 498612905280.

The previous prime is 1616537226263. The next prime is 1616537226319. The reversal of 1616537226312 is 2136227356161.

1616537226312 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 5 + 3 + 7 + 2 + 2 + 631 + 2 = 666.

It is a super-2 number, since 2×1616537226312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1616537226319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2209887 + ... + 2848977.

It is an arithmetic number, because the mean of its divisors is an integer number (32765447975).

Almost surely, 2^{1616537226312} is an apocalyptic number.

1616537226312 is a gapful number since it is divisible by the number (12) 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 1616537226312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359112254200).

1616537226312 is an abundant number, since it is smaller than the sum of its proper divisors (3101687282088).

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

1616537226312 is a wasteful number, since it uses less digits than its factorization.

1616537226312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639208 (or 639158 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 1616537226312 in words is "one trillion, six hundred sixteen billion, five hundred thirty-seven million, two hundred twenty-six thousand, three hundred twelve".