74144692921056 has 768 divisors, whose sum is σ = 224292014972928. Its totient is φ = 21321606758400.

The previous prime is 74144692921051. The next prime is 74144692921069. The reversal of 74144692921056 is 65012929644147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74144692921051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51958438615 + ... + 51958440041.

It is an arithmetic number, because the mean of its divisors is an integer number (292046894496).

Almost surely, 2^{74144692921056} 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 74144692921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112146007486464).

74144692921056 is an abundant number, since it is smaller than the sum of its proper divisors (150147322051872).

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

74144692921056 is a wasteful number, since it uses less digits than its factorization.

74144692921056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 74144692921056 in words is "seventy-four trillion, one hundred forty-four billion, six hundred ninety-two million, nine hundred twenty-one thousand, fifty-six".