11863646389440 has 1120 divisors, whose sum is σ = 45352912803264. Its totient is φ = 2945374617600.

The previous prime is 11863646389429. The next prime is 11863646389477. The reversal of 11863646389440 is 4498364636811.

11863646389440 is a `hidden beast` number, since 1 + 1 + 86 + 3 + 6 + 463 + 8 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×11863646389440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10814626972 + ... + 10814628068.

Almost surely, 2^{11863646389440} is an apocalyptic number.

11863646389440 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 11863646389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676456401632).

11863646389440 is an abundant number, since it is smaller than the sum of its proper divisors (33489266413824).

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

11863646389440 is an equidigital number, since it uses as much as digits as its factorization.

11863646389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 11863646389440 in words is "eleven trillion, eight hundred sixty-three billion, six hundred forty-six million, three hundred eighty-nine thousand, four hundred forty".