2113778925468 has 144 divisors (see below), whose sum is σ = 6261580765440. Its totient is φ = 588625516800.

The previous prime is 2113778925463. The next prime is 2113778925493. The reversal of 2113778925468 is 8645298773112.

2113778925468 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 7 + 89 + 2 + 546 + 8 = 666.

It is a super-3 number, since 3×2113778925468³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113778925463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10427923 + ... + 10628693.

It is an arithmetic number, because the mean of its divisors is an integer number (43483199760).

Almost surely, 2^{2113778925468} is an apocalyptic number.

2113778925468 is a gapful number since it is divisible by the number (28) 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 2113778925468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130790382720).

2113778925468 is an abundant number, since it is smaller than the sum of its proper divisors (4147801839972).

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

2113778925468 is a wasteful number, since it uses less digits than its factorization.

2113778925468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201848 (or 201843 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 2113778925468 in words is "two trillion, one hundred thirteen billion, seven hundred seventy-eight million, nine hundred twenty-five thousand, four hundred sixty-eight".