1375218872064 has 432 divisors, whose sum is σ = 4197563959680. Its totient is φ = 432343941120.

The previous prime is 1375218872057. The next prime is 1375218872081. The reversal of 1375218872064 is 4602788125731.

1375218872064 is a `hidden beast` number, since 1 + 37 + 521 + 8 + 8 + 7 + 20 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1375218872064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959677492 + ... + 959678924.

It is an arithmetic number, because the mean of its divisors is an integer number (9716583240).

Almost surely, 2^{1375218872064} 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 1375218872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098781979840).

1375218872064 is an abundant number, since it is smaller than the sum of its proper divisors (2822345087616).

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

1375218872064 is a wasteful number, since it uses less digits than its factorization.

1375218872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1375218872064 in words is "one trillion, three hundred seventy-five billion, two hundred eighteen million, eight hundred seventy-two thousand, sixty-four".