11864484450 has 1152 divisors, whose sum is σ = 47054131200. Its totient is φ = 2134978560.

The previous prime is 11864484421. The next prime is 11864484461. The reversal of 11864484450 is 5448446811.

11864484450 is a `hidden beast` number, since 1 + 1 + 86 + 44 + 84 + 450 = 666.

It is a super-3 number, since 3×11864484450³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11864484396 and 11864484405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 515847139 + ... + 515847161.

It is an arithmetic number, because the mean of its divisors is an integer number (40845600).

Almost surely, 2^11864484450 is an apocalyptic number.

11864484450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864484450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527065600).

11864484450 is an abundant number, since it is smaller than the sum of its proper divisors (35189646750).

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

11864484450 is a wasteful number, since it uses less digits than its factorization.

11864484450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 11864484450 in words is "eleven billion, eight hundred sixty-four million, four hundred eighty-four thousand, four hundred fifty".