361675825056 has 384 divisors, whose sum is σ = 1354779095040. Its totient is φ = 91239312384.

The previous prime is 361675825009. The next prime is 361675825111. The reversal of 361675825056 is 650528576163.

It is a happy number.

361675825056 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 7 + 582 + 5 + 0 + 56 = 666.

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 = 361675824993 and 361675825011.

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 63 ways as a sum of consecutive naturals, for example, 1708351 + ... + 1908353.

It is an arithmetic number, because the mean of its divisors is an integer number (3528070560).

Almost surely, 2^361675825056 is an apocalyptic number.

361675825056 is a gapful number since it is divisible by the number (36) 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 361675825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677389547520).

361675825056 is an abundant number, since it is smaller than the sum of its proper divisors (993103269984).

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

361675825056 is a wasteful number, since it uses less digits than its factorization.

361675825056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200065 (or 200051 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 361675825056 in words is "three hundred sixty-one billion, six hundred seventy-five million, eight hundred twenty-five thousand, fifty-six".