1375617947872 has 384 divisors, whose sum is σ = 3548806152192. Its totient is φ = 511266816000.

The previous prime is 1375617947831. The next prime is 1375617947933. The reversal of 1375617947872 is 2787497165731.

It is a junction number, because it is equal to n+sod(n) for n = 1375617947798 and 1375617947807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205282122 + ... + 205288822.

It is an arithmetic number, because the mean of its divisors is an integer number (9241682688).

Almost surely, 2^{1375617947872} 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 1375617947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774403076096).

1375617947872 is an abundant number, since it is smaller than the sum of its proper divisors (2173188204320).

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

1375617947872 is a wasteful number, since it uses less digits than its factorization.

1375617947872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6842 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 67.

The spelling of 1375617947872 in words is "one trillion, three hundred seventy-five billion, six hundred seventeen million, nine hundred forty-seven thousand, eight hundred seventy-two".