164457104448 has 224 divisors, whose sum is σ = 536806932480. Its totient is φ = 43270686720.

The previous prime is 164457104437. The next prime is 164457104453. The reversal of 164457104448 is 844401754461.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×164457104448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 164457104397 and 164457104406.

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, 7519513 + ... + 7541351.

It is an arithmetic number, because the mean of its divisors is an integer number (2396459520).

Almost surely, 2^164457104448 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 164457104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268403466240).

164457104448 is an abundant number, since it is smaller than the sum of its proper divisors (372349828032).

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

164457104448 is a wasteful number, since it uses less digits than its factorization.

164457104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 164457104448 in words is "one hundred sixty-four billion, four hundred fifty-seven million, one hundred four thousand, four hundred forty-eight".