1263761947648 has 176 divisors, whose sum is σ = 2613665998944. Its totient is φ = 610397061120.

The previous prime is 1263761947633. The next prime is 1263761947667. The reversal of 1263761947648 is 8467491673621.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1263761947648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048236236 + ... + 2048236852.

It is an arithmetic number, because the mean of its divisors is an integer number (14850374994).

Almost surely, 2^{1263761947648} 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 1263761947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306832999472).

1263761947648 is an abundant number, since it is smaller than the sum of its proper divisors (1349904051296).

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

1263761947648 is a wasteful number, since it uses less digits than its factorization.

1263761947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1100 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 64.

The spelling of 1263761947648 in words is "one trillion, two hundred sixty-three billion, seven hundred sixty-one million, nine hundred forty-seven thousand, six hundred forty-eight".