2246977016064 has 729 divisors, whose sum is σ = 7610190022981. Its totient is φ = 637011640320.

The previous prime is 2246977016027. The next prime is 2246977016071. The reversal of 2246977016064 is 4606107796422.

The square root of 2246977016064 is 1498992.

It is a perfect power (a square), and thus also a powerful number.

2246977016064 is a `hidden beast` number, since 2 + 24 + 6 + 9 + 7 + 7 + 0 + 1 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1749376569600 + 497600446464 = 1322640^2 + 705408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2246977016064.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13454952109 + ... + 13454952275.

Almost surely, 2^{2246977016064} is an apocalyptic number.

2246977016064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2246977016064 is the 1498992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246977016064

2246977016064 is an abundant number, since it is smaller than the sum of its proper divisors (5363213006917).

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

2246977016064 is a wasteful number, since it uses less digits than its factorization.

2246977016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2246977016064 in words is "two trillion, two hundred forty-six billion, nine hundred seventy-seven million, sixteen thousand, sixty-four".