1261214630368 has 576 divisors, whose sum is σ = 3421859188608. Its totient is φ = 446054400000.

The previous prime is 1261214630363. The next prime is 1261214630393. The reversal of 1261214630368 is 8630364121621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261214630363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908039958 + ... + 1908040618.

It is an arithmetic number, because the mean of its divisors is an integer number (5940727758).

Almost surely, 2^{1261214630368} 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 1261214630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710929594304).

1261214630368 is an abundant number, since it is smaller than the sum of its proper divisors (2160644558240).

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

1261214630368 is a wasteful number, since it uses less digits than its factorization.

1261214630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

Adding to 1261214630368 its reverse (8630364121621), we get a palindrome (9891578751989).

The spelling of 1261214630368 in words is "one trillion, two hundred sixty-one billion, two hundred fourteen million, six hundred thirty thousand, three hundred sixty-eight".