11417863680 has 800 divisors, whose sum is σ = 44918375040. Its totient is φ = 2760376320.

The previous prime is 11417863669. The next prime is 11417863733. The reversal of 11417863680 is 8636871411.

11417863680 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 7 + 8 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×11417863680² (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, 144529881 + ... + 144529959.

Almost surely, 2^11417863680 is an apocalyptic number.

11417863680 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 11417863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459187520).

11417863680 is an abundant number, since it is smaller than the sum of its proper divisors (33500511360).

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

11417863680 is an equidigital number, since it uses as much as digits as its factorization.

11417863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 114178636 and 80, that added together give a triangular number (114178716 = T₁₅₁₁₁).

The spelling of 11417863680 in words is "eleven billion, four hundred seventeen million, eight hundred sixty-three thousand, six hundred eighty".