11414779785864 has 288 divisors, whose sum is σ = 38265956164800. Its totient is φ = 3009891156480.

The previous prime is 11414779785863. The next prime is 11414779785883. The reversal of 11414779785864 is 46858797741411.

11414779785864 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 477 + 9 + 78 + 5 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11414779785792 and 11414779785801.

It is not an unprimeable number, because it can be changed into a prime (11414779785863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 569902602 + ... + 569922630.

It is an arithmetic number, because the mean of its divisors is an integer number (132867903350).

Almost surely, 2^{11414779785864} is an apocalyptic number.

11414779785864 is a gapful number since it is divisible by the number (14) 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 11414779785864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132978082400).

11414779785864 is an abundant number, since it is smaller than the sum of its proper divisors (26851176378936).

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

11414779785864 is a wasteful number, since it uses less digits than its factorization.

11414779785864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26765 (or 26745 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

The spelling of 11414779785864 in words is "eleven trillion, four hundred fourteen billion, seven hundred seventy-nine million, seven hundred eighty-five thousand, eight hundred sixty-four".