22113178649064 has 160 divisors (see below), whose sum is σ = 62011594208520. Its totient is φ = 7362232694784.

The previous prime is 22113178649063. The next prime is 22113178649077. The reversal of 22113178649064 is 46094687131122.

22113178649064 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 17 + 86 + 490 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20922116364900 + 1191062284164 = 4574070^2 + 1091358^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22113178649064.

It is not an unprimeable number, because it can be changed into a prime (22113178649063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2328433564 + ... + 2328443060.

Almost surely, 2^{22113178649064} is an apocalyptic number.

22113178649064 is a gapful number since it is divisible by the number (24) 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 22113178649064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005797104260).

22113178649064 is an abundant number, since it is smaller than the sum of its proper divisors (39898415559456).

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

22113178649064 is a wasteful number, since it uses less digits than its factorization.

22113178649064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22113178649064 in words is "twenty-two trillion, one hundred thirteen billion, one hundred seventy-eight million, six hundred forty-nine thousand, sixty-four".