164523857400 has 192 divisors, whose sum is σ = 647649619200. Its totient is φ = 37605444480.

The previous prime is 164523857389. The next prime is 164523857401. The reversal of 164523857400 is 4758325461.

164523857400 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 238 + 5 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164523857401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138442 + ... + 2214041.

It is an arithmetic number, because the mean of its divisors is an integer number (3373175100).

Almost surely, 2^164523857400 is an apocalyptic number.

164523857400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164523857400 is an abundant number, since it is smaller than the sum of its proper divisors (483125761800).

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

164523857400 is a wasteful number, since it uses less digits than its factorization.

164523857400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352515 (or 4352500 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 164523857400 in words is "one hundred sixty-four billion, five hundred twenty-three million, eight hundred fifty-seven thousand, four hundred".