1616916353472 has 504 divisors, whose sum is σ = 5464075265376. Its totient is φ = 455772635136.

The previous prime is 1616916353447. The next prime is 1616916353477. The reversal of 1616916353472 is 2743536196161.

1616916353472 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 9 + 163 + 5 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1616916353472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616916353477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909912648 + ... + 909914424.

Almost surely, 2^{1616916353472} is an apocalyptic number.

1616916353472 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 1616916353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732037632688).

1616916353472 is an abundant number, since it is smaller than the sum of its proper divisors (3847158911904).

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

1616916353472 is a wasteful number, since it uses less digits than its factorization.

1616916353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2205 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 1616916353472 in words is "one trillion, six hundred sixteen billion, nine hundred sixteen million, three hundred fifty-three thousand, four hundred seventy-two".