74336231146320 has 1440 divisors, whose sum is σ = 317958105628800. Its totient is φ = 15911119319040.

The previous prime is 74336231146319. The next prime is 74336231146321. The reversal of 74336231146320 is 2364113263347.

74336231146320 is a `hidden beast` number, since 7 + 4 + 3 + 3 + 6 + 2 + 3 + 1 + 1 + 4 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74336231146319) and next prime (74336231146321).

It is a super-2 number, since 2×74336231146320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74336231146321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1470552406 + ... + 1470602954.

It is an arithmetic number, because the mean of its divisors is an integer number (220804240020).

Almost surely, 2^{74336231146320} 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 74336231146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158979052814400).

74336231146320 is an abundant number, since it is smaller than the sum of its proper divisors (243621874482480).

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

74336231146320 is a wasteful number, since it uses less digits than its factorization.

74336231146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50647 (or 50606 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 74336231146320 in words is "seventy-four trillion, three hundred thirty-six billion, two hundred thirty-one million, one hundred forty-six thousand, three hundred twenty".