74428628157 has 24 divisors (see below), whose sum is σ = 115787352408. Its totient is φ = 45798480000.

The previous prime is 74428628143. The next prime is 74428628171. The reversal of 74428628157 is 75182682447.

74428628157 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 8 + 628 + 1 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (74428628143) and next prime (74428628171).

It can be written as a sum of positive squares in 4 ways, for example, as 5083832601 + 69344795556 = 71301^2 + 263334^2 .

It is not a de Polignac number, because 74428628157 - 2¹⁵ = 74428595389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74428628137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2265307 + ... + 2297927.

It is an arithmetic number, because the mean of its divisors is an integer number (4824473017).

Almost surely, 2^74428628157 is an apocalyptic number.

It is an amenable number.

74428628157 is a deficient number, since it is larger than the sum of its proper divisors (41358724251).

74428628157 is a wasteful number, since it uses less digits than its factorization.

74428628157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52141 (or 52138 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 74428628157 in words is "seventy-four billion, four hundred twenty-eight million, six hundred twenty-eight thousand, one hundred fifty-seven".