48814164 has 60 divisors (see below), whose sum is σ = 145846624. Its totient is φ = 13946256.

The previous prime is 48814147. The next prime is 48814169. The reversal of 48814164 is 46141884.

48814164 is a `hidden beast` number, since 488 + 14 + 164 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48814169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8494 + ... + 13029.

Almost surely, 2^48814164 is an apocalyptic number.

It is an amenable number.

48814164 is an abundant number, since it is smaller than the sum of its proper divisors (97032460).

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

48814164 is a wasteful number, since it uses less digits than its factorization.

48814164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21535 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 48814164 is about 6986.7133904290. The cubic root of 48814164 is about 365.4673790021.

It can be divided in two parts, 4881 and 4164, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 48814164 in words is "forty-eight million, eight hundred fourteen thousand, one hundred sixty-four".