1581984461952 has 48 divisors (see below), whose sum is σ = 4552325082630. Its totient is φ = 527328153600.

The previous prime is 1581984461861. The next prime is 1581984461963. The reversal of 1581984461952 is 2591644891851.

1581984461952 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 9 + 8 + 4 + 4 + 619 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1254095378496 + 327889083456 = 1119864^2 + 572616^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1581984461952.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 686624049 + ... + 686626352.

Almost surely, 2^{1581984461952} is an apocalyptic number.

1581984461952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1581984461952 is an abundant number, since it is smaller than the sum of its proper divisors (2970340620678).

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

1581984461952 is a wasteful number, since it uses less digits than its factorization.

1581984461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373250421 (or 1373250406 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 1581984461952 in words is "one trillion, five hundred eighty-one billion, nine hundred eighty-four million, four hundred sixty-one thousand, nine hundred fifty-two".