74449701144 has 864 divisors, whose sum is σ = 272399306400. Its totient is φ = 18265927680.

The previous prime is 74449701127. The next prime is 74449701149. The reversal of 74449701144 is 44110794447.

74449701144 is a `hidden beast` number, since 7 + 44 + 497 + 0 + 114 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 74449701144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74449701149) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 836513452 + ... + 836513540.

It is an arithmetic number, because the mean of its divisors is an integer number (315276975).

Almost surely, 2^74449701144 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 74449701144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136199653200).

74449701144 is an abundant number, since it is smaller than the sum of its proper divisors (197949605256).

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

74449701144 is a wasteful number, since it uses less digits than its factorization.

74449701144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74449701144 in words is "seventy-four billion, four hundred forty-nine million, seven hundred one thousand, one hundred forty-four".