303606716400864 has 768 divisors, whose sum is σ = 928995714662400. Its totient is φ = 96390885427200.

The previous prime is 303606716400863. The next prime is 303606716400893. The reversal of 303606716400864 is 468004617606303.

303606716400864 is a `hidden beast` number, since 3 + 0 + 360 + 67 + 164 + 0 + 0 + 8 + 64 = 666.

It is a super-2 number, since 2×303606716400864² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 303606716400864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303606716400863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85740386934 + ... + 85740390474.

It is an arithmetic number, because the mean of its divisors is an integer number (1209629836800).

Almost surely, 2^{303606716400864} 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 303606716400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464497857331200).

303606716400864 is an abundant number, since it is smaller than the sum of its proper divisors (625388998261536).

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

303606716400864 is a wasteful number, since it uses less digits than its factorization.

303606716400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 303606716400864 in words is "three hundred three trillion, six hundred six billion, seven hundred sixteen million, four hundred thousand, eight hundred sixty-four".