74468358456912 has 640 divisors, whose sum is σ = 264033565056000. Its totient is φ = 20017728847872.

The previous prime is 74468358456893. The next prime is 74468358456913. The reversal of 74468358456912 is 21965485386447.

74468358456912 is a `hidden beast` number, since 7 + 4 + 4 + 6 + 8 + 3 + 58 + 4 + 569 + 1 + 2 = 666.

It is a super-2 number, since 2×74468358456912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74468358456913) 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, 12980362908 + ... + 12980368644.

It is an arithmetic number, because the mean of its divisors is an integer number (412552445400).

Almost surely, 2^{74468358456912} is an apocalyptic number.

74468358456912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74468358456912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132016782528000).

74468358456912 is an abundant number, since it is smaller than the sum of its proper divisors (189565206599088).

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

74468358456912 is a wasteful number, since it uses less digits than its factorization.

74468358456912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10919 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 74468358456912 in words is "seventy-four trillion, four hundred sixty-eight billion, three hundred fifty-eight million, four hundred fifty-six thousand, nine hundred twelve".