1382095870848 has 384 divisors, whose sum is σ = 4962219575040. Its totient is φ = 358716211200.

The previous prime is 1382095870789. The next prime is 1382095870849. The reversal of 1382095870848 is 8480785902831.

1382095870848 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 9 + 587 + 0 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382095870849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135800736 + ... + 135810912.

It is an arithmetic number, because the mean of its divisors is an integer number (12922446810).

Almost surely, 2^{1382095870848} is an apocalyptic number.

1382095870848 is a gapful number since it is divisible by the number (18) 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 1382095870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481109787520).

1382095870848 is an abundant number, since it is smaller than the sum of its proper divisors (3580123704192).

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

1382095870848 is a wasteful number, since it uses less digits than its factorization.

1382095870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1382095870848 in words is "one trillion, three hundred eighty-two billion, ninety-five million, eight hundred seventy thousand, eight hundred forty-eight".