74577168414657 has 10 divisors (see below), whose sum is σ = 111405399730658. Its totient is φ = 49718112276384.

The previous prime is 74577168414601. The next prime is 74577168414659. The reversal of 74577168414657 is 75641486177547.

74577168414657 is a `hidden beast` number, since 7 + 4 + 5 + 77 + 16 + 84 + 1 + 465 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45023549781681 + 29553618632976 = 6709959^2 + 5436324^2 .

It is not a de Polignac number, because 74577168414657 - 2¹⁴ = 74577168398273 is a prime.

It is a super-2 number, since 2×74577168414657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74577168414659) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 460352891368 + ... + 460352891529.

Almost surely, 2^{74577168414657} is an apocalyptic number.

It is an amenable number.

74577168414657 is a deficient number, since it is larger than the sum of its proper divisors (36828231316001).

74577168414657 is an equidigital number, since it uses as much as digits as its factorization.

74577168414657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920705782909 (or 920705782900 counting only the distinct ones).

The product of its digits is 1106380800, while the sum is 72.

The spelling of 74577168414657 in words is "seventy-four trillion, five hundred seventy-seven billion, one hundred sixty-eight million, four hundred fourteen thousand, six hundred fifty-seven".