1972468545432 has 128 divisors (see below), whose sum is σ = 6509598359040. Its totient is φ = 482192455680.

The previous prime is 1972468545427. The next prime is 1972468545469. The reversal of 1972468545432 is 2345458642791.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 31361323 + ... + 31424154.

It is an arithmetic number, because the mean of its divisors is an integer number (50856237180).

Almost surely, 2^{1972468545432} is an apocalyptic number.

1972468545432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1972468545432 is an abundant number, since it is smaller than the sum of its proper divisors (4537129813608).

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

1972468545432 is a wasteful number, since it uses less digits than its factorization.

1972468545432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62785521 (or 62785517 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 1972468545432 in words is "one trillion, nine hundred seventy-two billion, four hundred sixty-eight million, five hundred forty-five thousand, four hundred thirty-two".