22103742081024 has 384 divisors, whose sum is σ = 66515109897600. Its totient is φ = 7342331609088.

The previous prime is 22103742081023. The next prime is 22103742081053. The reversal of 22103742081024 is 42018024730122.

22103742081024 is a `hidden beast` number, since 2 + 210 + 3 + 7 + 420 + 8 + 10 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22103742081024.

It is not an unprimeable number, because it can be changed into a prime (22103742081023) 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, 1312331547 + ... + 1312348389.

It is an arithmetic number, because the mean of its divisors is an integer number (173216432025).

Almost surely, 2^{22103742081024} is an apocalyptic number.

22103742081024 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 22103742081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33257554948800).

22103742081024 is an abundant number, since it is smaller than the sum of its proper divisors (44411367816576).

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

22103742081024 is an frugal number, since it uses more digits than its factorization.

22103742081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22103742081024 in words is "twenty-two trillion, one hundred three billion, seven hundred forty-two million, eighty-one thousand, twenty-four".