74841502309938 has 288 divisors, whose sum is σ = 215361610813440. Its totient is φ = 18585429730560.

The previous prime is 74841502309841. The next prime is 74841502309979. The reversal of 74841502309938 is 83990320514847.

74841502309938 is a `hidden beast` number, since 7 + 4 + 8 + 4 + 1 + 502 + 3 + 0 + 99 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 10306143 + ... + 15996861.

It is an arithmetic number, because the mean of its divisors is an integer number (747783370880).

Almost surely, 2^{74841502309938} is an apocalyptic number.

74841502309938 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74841502309938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107680805406720).

74841502309938 is an abundant number, since it is smaller than the sum of its proper divisors (140520108503502).

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

74841502309938 is a wasteful number, since it uses less digits than its factorization.

74841502309938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690822 (or 5690812 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 74841502309938 in words is "seventy-four trillion, eight hundred forty-one billion, five hundred two million, three hundred nine thousand, nine hundred thirty-eight".