1011963456 has 280 divisors, whose sum is σ = 3481547520. Its totient is φ = 284663808.

The previous prime is 1011963413. The next prime is 1011963467. The reversal of 1011963456 is 6543691101.

1011963456 is a `hidden beast` number, since 1 + 0 + 1 + 19 + 634 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1011963456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866576 + ... + 2866928.

Almost surely, 2^1011963456 is an apocalyptic number.

1011963456 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 1011963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740773760).

1011963456 is an abundant number, since it is smaller than the sum of its proper divisors (2469584064).

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

1011963456 is an equidigital number, since it uses as much as digits as its factorization.

1011963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1011963456 is about 31811.3730605895. The cubic root of 1011963456 is about 1003.9720208284.

The spelling of 1011963456 in words is "one billion, eleven million, nine hundred sixty-three thousand, four hundred fifty-six".