1382174055264 has 192 divisors, whose sum is σ = 3900528463104. Its totient is φ = 426994384896.

The previous prime is 1382174055217. The next prime is 1382174055287. The reversal of 1382174055264 is 4625504712831.

It is a super-2 number, since 2×1382174055264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76595427 + ... + 76613469.

It is an arithmetic number, because the mean of its divisors is an integer number (20315252412).

Almost surely, 2^{1382174055264} 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 1382174055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950264231552).

1382174055264 is an abundant number, since it is smaller than the sum of its proper divisors (2518354407840).

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

1382174055264 is a wasteful number, since it uses less digits than its factorization.

1382174055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18789 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 1382174055264 in words is "one trillion, three hundred eighty-two billion, one hundred seventy-four million, fifty-five thousand, two hundred sixty-four".