1612242452016 has 640 divisors, whose sum is σ = 5593927680000. Its totient is φ = 444094140672.

The previous prime is 1612242452003. The next prime is 1612242452027. The reversal of 1612242452016 is 6102542422161.

1612242452016 is a `hidden beast` number, since 1 + 6 + 1 + 22 + 424 + 5 + 201 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 503352271 + ... + 503355473.

It is an arithmetic number, because the mean of its divisors is an integer number (8740512000).

Almost surely, 2^{1612242452016} is an apocalyptic number.

1612242452016 is a gapful number since it is divisible by the number (16) 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 1612242452016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796963840000).

1612242452016 is an abundant number, since it is smaller than the sum of its proper divisors (3981685227984).

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

1612242452016 is a wasteful number, since it uses less digits than its factorization.

1612242452016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1612242452016 its reverse (6102542422161), we get a palindrome (7714784874177).

The spelling of 1612242452016 in words is "one trillion, six hundred twelve billion, two hundred forty-two million, four hundred fifty-two thousand, sixteen".