612161406403200 has 1536 divisors, whose sum is σ = 2290282537536000. Its totient is φ = 161645646643200.

The previous prime is 612161406403199. The next prime is 612161406403207. The reversal of 612161406403200 is 2304604161216.

612161406403200 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 6 + 1 + 4 + 0 + 640 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (612161406403207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729632188381 + ... + 729632189219.

It is an arithmetic number, because the mean of its divisors is an integer number (1491069360375).

Almost surely, 2^{612161406403200} is an apocalyptic number.

612161406403200 is a gapful number since it is divisible by the number (60) 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 612161406403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145141268768000).

612161406403200 is an abundant number, since it is smaller than the sum of its proper divisors (1678121131132800).

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

612161406403200 is an equidigital number, since it uses as much as digits as its factorization.

612161406403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 612161406403200 in words is "six hundred twelve trillion, one hundred sixty-one billion, four hundred six million, four hundred three thousand, two hundred".