612346505643216 has 80 divisors (see below), whose sum is σ = 1768856561083200. Its totient is φ = 202815403120512.

The previous prime is 612346505643211. The next prime is 612346505643227.

612346505643216 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 4 + 6 + 50 + 564 + 3 + 21 + 6 = 666.

612346505643216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612346505643211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4514163906 + ... + 4514299553.

It is an arithmetic number, because the mean of its divisors is an integer number (22110707013540).

Almost surely, 2^{612346505643216} is an apocalyptic number.

It is an amenable number.

612346505643216 is an abundant number, since it is smaller than the sum of its proper divisors (1156510055439984).

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

612346505643216 is a wasteful number, since it uses less digits than its factorization.

612346505643216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028463633 (or 9028463621 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

It can be divided in two parts, 61234650 and 5643216, that added together give a palindrome (66877866).

The spelling of 612346505643216 in words is "six hundred twelve trillion, three hundred forty-six billion, five hundred five million, six hundred forty-three thousand, two hundred sixteen".