74381010084992 has 128 divisors (see below), whose sum is σ = 161942263459200. Its totient is φ = 33822082990080.

The previous prime is 74381010084959. The next prime is 74381010085001. The reversal of 74381010084992 is 29948001018347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×74381010084992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166241483 + ... + 166688309.

It is an arithmetic number, because the mean of its divisors is an integer number (1265173933275).

Almost surely, 2^{74381010084992} 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 74381010084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80971131729600).

74381010084992 is an abundant number, since it is smaller than the sum of its proper divisors (87561253374208).

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

74381010084992 is a wasteful number, since it uses less digits than its factorization.

74381010084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448334 (or 448322 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 74381010084992 in words is "seventy-four trillion, three hundred eighty-one billion, ten million, eighty-four thousand, nine hundred ninety-two".