11416861450260 has 768 divisors, whose sum is σ = 43101940654080. Its totient is φ = 2454299688960.

The previous prime is 11416861450249. The next prime is 11416861450261. The reversal of 11416861450260 is 6205416861411.

11416861450260 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 8 + 614 + 5 + 0 + 26 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416861450261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 583346275 + ... + 583365845.

It is an arithmetic number, because the mean of its divisors is an integer number (56122318560).

Almost surely, 2^{11416861450260} is an apocalyptic number.

11416861450260 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 11416861450260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550970327040).

11416861450260 is an abundant number, since it is smaller than the sum of its proper divisors (31685079203820).

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

11416861450260 is a wasteful number, since it uses less digits than its factorization.

11416861450260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19773 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11416861450260 in words is "eleven trillion, four hundred sixteen billion, eight hundred sixty-one million, four hundred fifty thousand, two hundred sixty".