2207016164448 has 192 divisors, whose sum is σ = 6514771032000. Its totient is φ = 726812393472.

The previous prime is 2207016164407. The next prime is 2207016164491. The reversal of 2207016164448 is 8444616107022.

2207016164448 is a `hidden beast` number, since 2 + 20 + 7 + 0 + 1 + 616 + 4 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×2207016164448² (a number of 25 digits) contains 22 as substring.

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, 99723048 + ... + 99745176.

It is an arithmetic number, because the mean of its divisors is an integer number (33931099125).

Almost surely, 2^{2207016164448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2207016164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257385516000).

2207016164448 is an abundant number, since it is smaller than the sum of its proper divisors (4307754867552).

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

2207016164448 is a wasteful number, since it uses less digits than its factorization.

2207016164448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23534 (or 23520 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2207016164448 in words is "two trillion, two hundred seven billion, sixteen million, one hundred sixty-four thousand, four hundred forty-eight".