246772429656064 has 351 divisors, whose sum is σ = 543488701411593. Its totient is φ = 111982743355392.

The previous prime is 246772429656061. The next prime is 246772429656133. The reversal of 246772429656064 is 460656924277642.

The square root of 246772429656064 is 15708992.

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

It can be written as a sum of positive squares in only one way, i.e., 36504797286400 + 210267632369664 = 6041920^2 + 14500608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 246772429655984 and 246772429656002.

It is not an unprimeable number, because it can be changed into a prime (246772429656061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1032520626057 + ... + 1032520626295.

Almost surely, 2^{246772429656064} is an apocalyptic number.

246772429656064 is the 15708992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246772429656064

246772429656064 is an abundant number, since it is smaller than the sum of its proper divisors (296716271755529).

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

246772429656064 is an frugal number, since it uses more digits than its factorization.

246772429656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 70.

The spelling of 246772429656064 in words is "two hundred forty-six trillion, seven hundred seventy-two billion, four hundred twenty-nine million, six hundred fifty-six thousand, sixty-four".