1331955504972 has 72 divisors (see below), whose sum is σ = 3500865793152. Its totient is φ = 426526790400.

The previous prime is 1331955504961. The next prime is 1331955505007. The reversal of 1331955504972 is 2794055591331.

It is a happy number.

1331955504972 is a `hidden beast` number, since 1 + 3 + 3 + 19 + 5 + 550 + 4 + 9 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4202979 + ... + 4508762.

It is an arithmetic number, because the mean of its divisors is an integer number (48623136016).

Almost surely, 2^{1331955504972} is an apocalyptic number.

1331955504972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331955504972 is an abundant number, since it is smaller than the sum of its proper divisors (2168910288180).

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

1331955504972 is a wasteful number, since it uses less digits than its factorization.

1331955504972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711919 (or 8711914 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 1331955504972 in words is "one trillion, three hundred thirty-one billion, nine hundred fifty-five million, five hundred four thousand, nine hundred seventy-two".