74185225056 has 576 divisors, whose sum is σ = 245261592576. Its totient is φ = 21946982400.

The previous prime is 74185225033. The next prime is 74185225109. The reversal of 74185225056 is 65052258147.

74185225056 is a `hidden beast` number, since 7 + 41 + 85 + 22 + 505 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176211726 + ... + 176212146.

It is an arithmetic number, because the mean of its divisors is an integer number (425801376).

Almost surely, 2^74185225056 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 74185225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122630796288).

74185225056 is an abundant number, since it is smaller than the sum of its proper divisors (171076367520).

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

74185225056 is a wasteful number, since it uses less digits than its factorization.

74185225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 74185225056 in words is "seventy-four billion, one hundred eighty-five million, two hundred twenty-five thousand, fifty-six".