74128753353312 has 1152 divisors, whose sum is σ = 269710856110080. Its totient is φ = 19679731384320.

The previous prime is 74128753353307. The next prime is 74128753353341. The reversal of 74128753353312 is 21335335782147.

74128753353312 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 8 + 75 + 33 + 533 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35115467137 + ... + 35115469247.

It is an arithmetic number, because the mean of its divisors is an integer number (234124007040).

Almost surely, 2^{74128753353312} is an apocalyptic number.

74128753353312 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 74128753353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134855428055040).

74128753353312 is an abundant number, since it is smaller than the sum of its proper divisors (195582102756768).

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

74128753353312 is a wasteful number, since it uses less digits than its factorization.

74128753353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2740 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 74128753353312 in words is "seventy-four trillion, one hundred twenty-eight billion, seven hundred fifty-three million, three hundred fifty-three thousand, three hundred twelve".