74575161648 has 200 divisors, whose sum is σ = 233254164528. Its totient is φ = 22866375168.

The previous prime is 74575161641. The next prime is 74575161653. The reversal of 74575161648 is 84616157547.

74575161648 is a `hidden beast` number, since 7 + 4 + 575 + 1 + 6 + 1 + 64 + 8 = 666.

It is a super-2 number, since 2×74575161648² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 74575161594 and 74575161603.

It is not an unprimeable number, because it can be changed into a prime (74575161641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4928911 + ... + 4944017.

Almost surely, 2^74575161648 is an apocalyptic number.

74575161648 is a gapful number since it is divisible by the number (78) 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 74575161648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116627082264).

74575161648 is an abundant number, since it is smaller than the sum of its proper divisors (158679002880).

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

74575161648 is a wasteful number, since it uses less digits than its factorization.

74575161648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433 (or 15418 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 74575161648 in words is "seventy-four billion, five hundred seventy-five million, one hundred sixty-one thousand, six hundred forty-eight".