263390662656 has 507 divisors, whose sum is σ = 868429584883. Its totient is φ = 79815352320.

The previous prime is 263390662651. The next prime is 263390662657. The reversal of 263390662656 is 656266093362.

The square root of 263390662656 is 513216.

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

263390662656 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 9 + 0 + 6 + 626 + 5 + 6 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (263390662651) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 23944605691 + ... + 23944605701.

Almost surely, 2^263390662656 is an apocalyptic number.

263390662656 is the 513216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263390662656

263390662656 is an abundant number, since it is smaller than the sum of its proper divisors (605038922227).

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

263390662656 is an frugal number, since it uses more digits than its factorization.

263390662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 263390662656 in words is "two hundred sixty-three billion, three hundred ninety million, six hundred sixty-two thousand, six hundred fifty-six".