1263859429248 has 384 divisors, whose sum is σ = 4050498466560. Its totient is φ = 375636787200.

The previous prime is 1263859429243. The next prime is 1263859429297. The reversal of 1263859429248 is 8429249583621.

1263859429248 is a `hidden beast` number, since 1 + 2 + 6 + 38 + 594 + 2 + 9 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263859429243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284586708 + ... + 284591148.

It is an arithmetic number, because the mean of its divisors is an integer number (10548173090).

Almost surely, 2^{1263859429248} is an apocalyptic number.

1263859429248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263859429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025249233280).

1263859429248 is an abundant number, since it is smaller than the sum of its proper divisors (2786639037312).

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

1263859429248 is a wasteful number, since it uses less digits than its factorization.

1263859429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5103 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1263859429248 in words is "one trillion, two hundred sixty-three billion, eight hundred fifty-nine million, four hundred twenty-nine thousand, two hundred forty-eight".