164412516505662 has 48 divisors (see below), whose sum is σ = 359443237383360. Its totient is φ = 54309556578816.

The previous prime is 164412516505651. The next prime is 164412516505687. The reversal of 164412516505662 is 266505615214461.

It is a happy number.

164412516505662 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 25 + 1 + 6 + 50 + 566 + 2 = 666.

It is a super-3 number, since 3×164412516505662³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164412516505599 and 164412516505608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4328914 + ... + 18643082.

It is an arithmetic number, because the mean of its divisors is an integer number (7488400778820).

Almost surely, 2^{164412516505662} is an apocalyptic number.

164412516505662 is an abundant number, since it is smaller than the sum of its proper divisors (195030720877698).

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

164412516505662 is a wasteful number, since it uses less digits than its factorization.

164412516505662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14319937 (or 14319934 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 164412516505662 in words is "one hundred sixty-four trillion, four hundred twelve billion, five hundred sixteen million, five hundred five thousand, six hundred sixty-two".