1263638016 has 320 divisors, whose sum is σ = 4183660800. Its totient is φ = 374243328.

The previous prime is 1263638003. The next prime is 1263638039. The reversal of 1263638016 is 6108363621.

1263638016 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 638 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4465011 + ... + 4465293.

It is an arithmetic number, because the mean of its divisors is an integer number (13073940).

Almost surely, 2^1263638016 is an apocalyptic number.

1263638016 is a gapful number since it is divisible by the number (16) 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 1263638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091830400).

1263638016 is an abundant number, since it is smaller than the sum of its proper divisors (2920022784).

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

1263638016 is a wasteful number, since it uses less digits than its factorization.

1263638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1263638016 is about 35547.6865070007. The cubic root of 1263638016 is about 1081.1208117406.

The spelling of 1263638016 in words is "one billion, two hundred sixty-three million, six hundred thirty-eight thousand, sixteen".