74159449056 has 432 divisors, whose sum is σ = 279273391488. Its totient is φ = 18423820800.

The previous prime is 74159449051. The next prime is 74159449087. The reversal of 74159449056 is 65094495147.

74159449056 is a `hidden beast` number, since 7 + 4 + 1 + 594 + 49 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×74159449056² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74159448993 and 74159449011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74159449051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3559951 + ... + 3580721.

It is an arithmetic number, because the mean of its divisors is an integer number (646466184).

Almost surely, 2^74159449056 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 74159449056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636695744).

74159449056 is an abundant number, since it is smaller than the sum of its proper divisors (205113942432).

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

74159449056 is a wasteful number, since it uses less digits than its factorization.

74159449056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835 (or 20817 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 74159449056 in words is "seventy-four billion, one hundred fifty-nine million, four hundred forty-nine thousand, fifty-six".