1567145948448 has 96 divisors (see below), whose sum is σ = 4225744010880. Its totient is φ = 508166922240.

The previous prime is 1567145948393. The next prime is 1567145948513. The reversal of 1567145948448 is 8448495417651.

It is a Cunningham number, because it is equal to 1251857²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1567145948448³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19990608 + ... + 20068848.

It is an arithmetic number, because the mean of its divisors is an integer number (44018166780).

Almost surely, 2^{1567145948448} 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 1567145948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112872005440).

1567145948448 is an abundant number, since it is smaller than the sum of its proper divisors (2658598062432).

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

1567145948448 is a wasteful number, since it uses less digits than its factorization.

1567145948448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83930 (or 83922 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 1567145948448 in words is "one trillion, five hundred sixty-seven billion, one hundred forty-five million, nine hundred forty-eight thousand, four hundred forty-eight".