74981096808912 has 1920 divisors, whose sum is σ = 272759685120000. Its totient is φ = 19152996065280.

The previous prime is 74981096808899. The next prime is 74981096808913. The reversal of 74981096808912 is 21980869018947.

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 (74981096808913) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147310602514 + ... + 147310603022.

It is an arithmetic number, because the mean of its divisors is an integer number (142062336000).

Almost surely, 2^{74981096808912} is an apocalyptic number.

74981096808912 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 74981096808912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136379842560000).

74981096808912 is an abundant number, since it is smaller than the sum of its proper divisors (197778588311088).

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

74981096808912 is a wasteful number, since it uses less digits than its factorization.

74981096808912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 74981096808912 in words is "seventy-four trillion, nine hundred eighty-one billion, ninety-six million, eight hundred eight thousand, nine hundred twelve".