1263660048 has 320 divisors, whose sum is σ = 4491141120. Its totient is φ = 331941888.

The previous prime is 1263659941. The next prime is 1263660061. The reversal of 1263660048 is 8400663621.

1263660048 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 6 + 600 + 48 = 666.

It is a super-2 number, since 2×1263660048² = 3193673433822724608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1263659994 and 1263660021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2415915 + ... + 2416437.

It is an arithmetic number, because the mean of its divisors is an integer number (14034816).

Almost surely, 2^1263660048 is an apocalyptic number.

1263660048 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 1263660048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245570560).

1263660048 is an abundant number, since it is smaller than the sum of its proper divisors (3227481072).

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

1263660048 is a wasteful number, since it uses less digits than its factorization.

1263660048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1263660048 is about 35547.9963992347. The cubic root of 1263660048 is about 1081.1270949522.

The spelling of 1263660048 in words is "one billion, two hundred sixty-three million, six hundred sixty thousand, forty-eight".