2378164383072 has 288 divisors, whose sum is σ = 7209618448032. Its totient is φ = 770580946944.

The previous prime is 2378164383043. The next prime is 2378164383113. The reversal of 2378164383072 is 2703834618732.

2378164383072 is a `hidden beast` number, since 2 + 37 + 8 + 164 + 383 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373159278 + ... + 373165650.

It is an arithmetic number, because the mean of its divisors is an integer number (25033397389).

Almost surely, 2^{2378164383072} 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 2378164383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604809224016).

2378164383072 is an abundant number, since it is smaller than the sum of its proper divisors (4831454064960).

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

2378164383072 is a wasteful number, since it uses less digits than its factorization.

2378164383072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2378164383072 in words is "two trillion, three hundred seventy-eight billion, one hundred sixty-four million, three hundred eighty-three thousand, seventy-two".