74382229152 has 384 divisors, whose sum is σ = 271411015680. Its totient is φ = 19253652480.

The previous prime is 74382229139. The next prime is 74382229223. The reversal of 74382229152 is 25192228347.

It is a junction number, because it is equal to n+sod(n) for n = 74382229098 and 74382229107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21087613 + ... + 21091139.

It is an arithmetic number, because the mean of its divisors is an integer number (706799520).

Almost surely, 2^74382229152 is an apocalyptic number.

74382229152 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 74382229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705507840).

74382229152 is an abundant number, since it is smaller than the sum of its proper divisors (197028786528).

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

74382229152 is a wasteful number, since it uses less digits than its factorization.

74382229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3867 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 74382229152 in words is "seventy-four billion, three hundred eighty-two million, two hundred twenty-nine thousand, one hundred fifty-two".