74844564102 has 192 divisors, whose sum is σ = 209693352960. Its totient is φ = 18720979200.

The previous prime is 74844564101. The next prime is 74844564103. The reversal of 74844564102 is 20146544847.

74844564102 is a `hidden beast` number, since 7 + 4 + 84 + 4 + 564 + 1 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (74844564101) and next prime (74844564103).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

74844564102 is a modest number, since divided by 564102 gives 74844 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74844564101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16919463 + ... + 16923885.

It is an arithmetic number, because the mean of its divisors is an integer number (1092152880).

Almost surely, 2^74844564102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74844564102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104846676480).

74844564102 is an abundant number, since it is smaller than the sum of its proper divisors (134848788858).

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

74844564102 is a wasteful number, since it uses less digits than its factorization.

74844564102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 74844564102 in words is "seventy-four billion, eight hundred forty-four million, five hundred sixty-four thousand, one hundred two".