22045356407648 has 192 divisors, whose sum is σ = 54064257408000. Its totient is φ = 8633918490624.

The previous prime is 22045356407617. The next prime is 22045356407689. The reversal of 22045356407648 is 84670465354022.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 22045356407593 and 22045356407602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131115698 + ... + 131283726.

It is an arithmetic number, because the mean of its divisors is an integer number (281584674000).

Almost surely, 2^{22045356407648} is an apocalyptic number.

22045356407648 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 22045356407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032128704000).

22045356407648 is an abundant number, since it is smaller than the sum of its proper divisors (32018901000352).

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

22045356407648 is a wasteful number, since it uses less digits than its factorization.

22045356407648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169157 (or 169149 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 56.

The spelling of 22045356407648 in words is "twenty-two trillion, forty-five billion, three hundred fifty-six million, four hundred seven thousand, six hundred forty-eight".