1471972987104 has 144 divisors (see below), whose sum is σ = 3995368070400. Its totient is φ = 474499987200.

The previous prime is 1471972987091. The next prime is 1471972987129. The reversal of 1471972987104 is 4017892791741.

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 23 ways as a sum of consecutive naturals, for example, 156738249 + ... + 156747639.

It is an arithmetic number, because the mean of its divisors is an integer number (27745611600).

Almost surely, 2^{1471972987104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471972987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997684035200).

1471972987104 is an abundant number, since it is smaller than the sum of its proper divisors (2523395083296).

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

1471972987104 is a wasteful number, since it uses less digits than its factorization.

1471972987104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 1471972987104 in words is "one trillion, four hundred seventy-one billion, nine hundred seventy-two million, nine hundred eighty-seven thousand, one hundred four".