11622683374848 has 3456 divisors, whose sum is σ = 48597934694400. Its totient is φ = 2682321371136.

The previous prime is 11622683374847. The next prime is 11622683374873. The reversal of 11622683374848 is 84847338622611.

11622683374848 is a `hidden beast` number, since 1 + 1 + 62 + 2 + 68 + 3 + 37 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11622683374847) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 130591947988 + ... + 130591948076.

It is an arithmetic number, because the mean of its divisors is an integer number (14061902400).

Almost surely, 2^{11622683374848} is an apocalyptic number.

11622683374848 is a gapful number since it is divisible by the number (18) 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 11622683374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298967347200).

11622683374848 is an abundant number, since it is smaller than the sum of its proper divisors (36975251319552).

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

11622683374848 is a wasteful number, since it uses less digits than its factorization.

11622683374848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 11622683374848 in words is "eleven trillion, six hundred twenty-two billion, six hundred eighty-three million, three hundred seventy-four thousand, eight hundred forty-eight".