74225749248 has 1152 divisors, whose sum is σ = 284823060480. Its totient is φ = 18579456000.

The previous prime is 74225749193. The next prime is 74225749249. The reversal of 74225749248 is 84294752247.

74225749248 is a `hidden beast` number, since 7 + 4 + 22 + 574 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (9031680) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 74225749194 and 74225749203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74225749249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1045433053 + ... + 1045433123.

It is an arithmetic number, because the mean of its divisors is an integer number (247242240).

Almost surely, 2^74225749248 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 74225749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142411530240).

74225749248 is an abundant number, since it is smaller than the sum of its proper divisors (210597311232).

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

74225749248 is a wasteful number, since it uses less digits than its factorization.

74225749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 74225749248 in words is "seventy-four billion, two hundred twenty-five million, seven hundred forty-nine thousand, two hundred forty-eight".