1631280710656 has 99 divisors (see below), whose sum is σ = 3294395900119. Its totient is φ = 807363995648.

The previous prime is 1631280710639. The next prime is 1631280710707. The reversal of 1631280710656 is 6560170821361.

It is a happy number.

The square root of 1631280710656 is 1277216.

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

It is a super-2 number, since 2×1631280710656² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6825442185 + ... + 6825442423.

Almost surely, 2^{1631280710656} is an apocalyptic number.

1631280710656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1631280710656 is the 1277216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631280710656

1631280710656 is an abundant number, since it is smaller than the sum of its proper divisors (1663115189463).

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

1631280710656 is an frugal number, since it uses more digits than its factorization.

1631280710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1631280710656 in words is "one trillion, six hundred thirty-one billion, two hundred eighty million, seven hundred ten thousand, six hundred fifty-six".