164351254054106 has 48 divisors (see below), whose sum is σ = 292696989765120. Its totient is φ = 68991677485920.

The previous prime is 164351254054103. The next prime is 164351254054109. The reversal of 164351254054106 is 601450452153461.

It is an interprime number because it is at equal distance from previous prime (164351254054103) and next prime (164351254054109).

It is a super-2 number, since 2×164351254054106² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164351254054103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56087330 + ... + 58944813.

It is an arithmetic number, because the mean of its divisors is an integer number (6097853953440).

Almost surely, 2^{164351254054106} is an apocalyptic number.

164351254054106 is a deficient number, since it is larger than the sum of its proper divisors (128345735711014).

164351254054106 is a wasteful number, since it uses less digits than its factorization.

164351254054106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115032459 (or 115032452 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 164351254054106 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, two hundred fifty-four million, fifty-four thousand, one hundred six".