22013064148704 has 192 divisors, whose sum is σ = 61815661608960. Its totient is φ = 6838764387840.

The previous prime is 22013064148693. The next prime is 22013064148709. The reversal of 22013064148704 is 40784146031022.

22013064148704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013064148709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59776789 + ... + 60143915.

It is an arithmetic number, because the mean of its divisors is an integer number (321956570880).

Almost surely, 2^{22013064148704} is an apocalyptic number.

22013064148704 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 22013064148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30907830804480).

22013064148704 is an abundant number, since it is smaller than the sum of its proper divisors (39802597460256).

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

22013064148704 is a wasteful number, since it uses less digits than its factorization.

22013064148704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367693 (or 367685 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 22013064148704 in words is "twenty-two trillion, thirteen billion, sixty-four million, one hundred forty-eight thousand, seven hundred four".