378178142060160 has 320 divisors, whose sum is σ = 1454430309088680. Its totient is φ = 93090004033536.

The previous prime is 378178142060143. The next prime is 378178142060221. The reversal of 378178142060160 is 61060241871873.

378178142060160 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 7 + 8 + 1 + 4 + 20 + 601 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345889472394816 + 32288669665344 = 18598104^2 + 5682312^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 378178142060097 and 378178142060106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279906967 + ... + 281254806.

Almost surely, 2^{378178142060160} is an apocalyptic number.

378178142060160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378178142060160 is an abundant number, since it is smaller than the sum of its proper divisors (1076252167028520).

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

378178142060160 is a wasteful number, since it uses less digits than its factorization.

378178142060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561161817 (or 561161796 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 378178142060160 in words is "three hundred seventy-eight trillion, one hundred seventy-eight billion, one hundred forty-two million, sixty thousand, one hundred sixty".