1263849080832 has 504 divisors, whose sum is σ = 4103579803050. Its totient is φ = 388799004672.

The previous prime is 1263849080807. The next prime is 1263849080833. The reversal of 1263849080832 is 2380809483621.

1263849080832 is a `hidden beast` number, since 1 + 26 + 384 + 90 + 80 + 83 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 616815461376 + 647033619456 = 785376^2 + 804384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1263849080833) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 252313144 + ... + 252318152.

Almost surely, 2^{1263849080832} is an apocalyptic number.

1263849080832 is a gapful number since it is divisible by the number (12) 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 1263849080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051789901525).

1263849080832 is an abundant number, since it is smaller than the sum of its proper divisors (2839730722218).

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

1263849080832 is an frugal number, since it uses more digits than its factorization.

1263849080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1263849080832 in words is "one trillion, two hundred sixty-three billion, eight hundred forty-nine million, eighty thousand, eight hundred thirty-two".