1263408224832 has 1792 divisors, whose sum is σ = 4668385075200. Its totient is φ = 331085905920.

The previous prime is 1263408224801. The next prime is 1263408224839. The reversal of 1263408224832 is 2384228043621.

1263408224832 is a `hidden beast` number, since 1 + 2 + 6 + 340 + 8 + 224 + 83 + 2 = 666.

It is a super-2 number, since 2×1263408224832² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1263408224839) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 17306961948 + ... + 17306962020.

It is an arithmetic number, because the mean of its divisors is an integer number (2605125600).

Almost surely, 2^{1263408224832} is an apocalyptic number.

1263408224832 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 1263408224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334192537600).

1263408224832 is an abundant number, since it is smaller than the sum of its proper divisors (3404976850368).

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

1263408224832 is a wasteful number, since it uses less digits than its factorization.

1263408224832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1263408224832 in words is "one trillion, two hundred sixty-three billion, four hundred eight million, two hundred twenty-four thousand, eight hundred thirty-two".