1807329456216 has 160 divisors (see below), whose sum is σ = 5079295650000. Its totient is φ = 600410651904.

The previous prime is 1807329456197. The next prime is 1807329456263. The reversal of 1807329456216 is 6126549237081.

It is a happy number.

1807329456216 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 3 + 2 + 9 + 4 + 5 + 621 + 6 = 666.

It is a super-2 number, since 2×1807329456216² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 657448410 + ... + 657451158.

It is a 1-persistent number, because it is pandigital, but 2⋅1807329456216 = 3614658912432 is not.

Almost surely, 2^{1807329456216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1807329456216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539647825000).

1807329456216 is an abundant number, since it is smaller than the sum of its proper divisors (3271966193784).

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

1807329456216 is a wasteful number, since it uses less digits than its factorization.

1807329456216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1807329456216 in words is "one trillion, eight hundred seven billion, three hundred twenty-nine million, four hundred fifty-six thousand, two hundred sixteen".