10164164577 has 32 divisors (see below), whose sum is σ = 16172310528. Its totient is φ = 5551905216.

The previous prime is 10164164539. The next prime is 10164164581. The reversal of 10164164577 is 77546146101.

It is a happy number.

It is not a de Polignac number, because 10164164577 - 2¹⁶ = 10164099041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10164164597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830968 + ... + 843110.

It is an arithmetic number, because the mean of its divisors is an integer number (505384704).

Almost surely, 2^10164164577 is an apocalyptic number.

It is an amenable number.

10164164577 is a deficient number, since it is larger than the sum of its proper divisors (6008145951).

10164164577 is a wasteful number, since it uses less digits than its factorization.

10164164577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10164164577 in words is "ten billion, one hundred sixty-four million, one hundred sixty-four thousand, five hundred seventy-seven".