164121948 has 18 divisors (see below), whose sum is σ = 414863904. Its totient is φ = 54707304.

The previous prime is 164121917. The next prime is 164121949. The reversal of 164121948 is 849121461.

164121948 is a `hidden beast` number, since 1 + 641 + 2 + 1 + 9 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4558943 = 164121948 / (1 + 6 + 4 + 1 + 2 + 1 + 9 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164121949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2279436 + ... + 2279507.

Almost surely, 2^164121948 is an apocalyptic number.

164121948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164121948 is an abundant number, since it is smaller than the sum of its proper divisors (250741956).

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

164121948 is a wasteful number, since it uses less digits than its factorization.

164121948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558953 (or 4558948 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 164121948 is about 12811.0088595707. The cubic root of 164121948 is about 547.5060060641.

The spelling of 164121948 in words is "one hundred sixty-four million, one hundred twenty-one thousand, nine hundred forty-eight".