1581088967145 has 32 divisors (see below), whose sum is σ = 2823207373440. Its totient is φ = 839532686400.

The previous prime is 1581088967113. The next prime is 1581088967149. The reversal of 1581088967145 is 5417698801851.

1581088967145 is a `hidden beast` number, since 1 + 581 + 0 + 8 + 8 + 9 + 6 + 7 + 1 + 45 = 666.

It is not a de Polignac number, because 1581088967145 - 2⁵ = 1581088967113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1581088967149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25766206 + ... + 25827495.

It is an arithmetic number, because the mean of its divisors is an integer number (88225230420).

Almost surely, 2^{1581088967145} is an apocalyptic number.

1581088967145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1581088967145 is a deficient number, since it is larger than the sum of its proper divisors (1242118406295).

1581088967145 is a wasteful number, since it uses less digits than its factorization.

1581088967145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51593942 (or 51593936 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 1581088967145 in words is "one trillion, five hundred eighty-one billion, eighty-eight million, nine hundred sixty-seven thousand, one hundred forty-five".