11482676617104 has 1280 divisors, whose sum is σ = 44821451243520. Its totient is φ = 2723217408000.

The previous prime is 11482676617099. The next prime is 11482676617109. The reversal of 11482676617104 is 40171667628411.

It is a happy number.

11482676617104 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 6 + 7 + 6 + 617 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11482676617099) and next prime (11482676617109).

It is a super-2 number, since 2×11482676617104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11482676617109) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4428335232 + ... + 4428337824.

It is an arithmetic number, because the mean of its divisors is an integer number (35016758784).

Almost surely, 2^{11482676617104} is an apocalyptic number.

11482676617104 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 11482676617104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22410725621760).

11482676617104 is an abundant number, since it is smaller than the sum of its proper divisors (33338774626416).

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

11482676617104 is a wasteful number, since it uses less digits than its factorization.

11482676617104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11482676617104 in words is "eleven trillion, four hundred eighty-two billion, six hundred seventy-six million, six hundred seventeen thousand, one hundred four".