1375082622144 has 504 divisors, whose sum is σ = 5011256472768. Its totient is φ = 356484602880.

The previous prime is 1375082622097. The next prime is 1375082622161. The reversal of 1375082622144 is 4412262805731.

1375082622144 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 8 + 2 + 622 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1375082622144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174787299 + ... + 174795165.

It is an arithmetic number, because the mean of its divisors is an integer number (9942969192).

Almost surely, 2^{1375082622144} is an apocalyptic number.

1375082622144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375082622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505628236384).

1375082622144 is an abundant number, since it is smaller than the sum of its proper divisors (3636173850624).

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

1375082622144 is a wasteful number, since it uses less digits than its factorization.

1375082622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1375082622144 in words is "one trillion, three hundred seventy-five billion, eighty-two million, six hundred twenty-two thousand, one hundred forty-four".