1081571714460 has 144 divisors (see below), whose sum is σ = 3294935515872. Its totient is φ = 287175168000.

The previous prime is 1081571714449. The next prime is 1081571714617. The reversal of 1081571714460 is 644171751801.

1081571714460 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 571 + 7 + 14 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73384212 + ... + 73398948.

It is an arithmetic number, because the mean of its divisors is an integer number (22881496638).

Almost surely, 2^{1081571714460} is an apocalyptic number.

1081571714460 is a gapful number since it is divisible by the number (10) 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 1081571714460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647467757936).

1081571714460 is an abundant number, since it is smaller than the sum of its proper divisors (2213363801412).

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

1081571714460 is a wasteful number, since it uses less digits than its factorization.

1081571714460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16484 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1081571714460 in words is "one trillion, eighty-one billion, five hundred seventy-one million, seven hundred fourteen thousand, four hundred sixty".