11463294960 has 400 divisors, whose sum is σ = 43935312960. Its totient is φ = 2752081920.

The previous prime is 11463294959. The next prime is 11463295021. The reversal of 11463294960 is 6949236411.

11463294960 is a `hidden beast` number, since 1 + 1 + 4 + 632 + 9 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11463294960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3452181 + ... + 3455499.

Almost surely, 2^11463294960 is an apocalyptic number.

11463294960 is a gapful number since it is divisible by the number (10) 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 11463294960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967656480).

11463294960 is an abundant number, since it is smaller than the sum of its proper divisors (32472018000).

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

11463294960 is a wasteful number, since it uses less digits than its factorization.

11463294960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 11463294960 in words is "eleven billion, four hundred sixty-three million, two hundred ninety-four thousand, nine hundred sixty".