1052161148448 has 480 divisors, whose sum is σ = 3322408320000. Its totient is φ = 325912688640.

The previous prime is 1052161148429. The next prime is 1052161148449. The reversal of 1052161148448 is 8448411612501.

1052161148448 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 61 + 148 + 448 = 666.

It is a super-2 number, since 2×1052161148448² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052161148449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463710258 + ... + 463712526.

It is an arithmetic number, because the mean of its divisors is an integer number (6921684000).

Almost surely, 2^{1052161148448} is an apocalyptic number.

1052161148448 is a gapful number since it is divisible by the number (18) 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 1052161148448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661204160000).

1052161148448 is an abundant number, since it is smaller than the sum of its proper divisors (2270247171552).

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

1052161148448 is a wasteful number, since it uses less digits than its factorization.

1052161148448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1052161148448 in words is "one trillion, fifty-two billion, one hundred sixty-one million, one hundred forty-eight thousand, four hundred forty-eight".