54146664 has 128 divisors (see below), whose sum is σ = 176803200. Its totient is φ = 15137280.

The previous prime is 54146663. The next prime is 54146671. The reversal of 54146664 is 46664145.

54146664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54146664² = 5863722444657792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54146663) 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 31 ways as a sum of consecutive naturals, for example, 30012 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (1381275).

Almost surely, 2^54146664 is an apocalyptic number.

54146664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88401600).

54146664 is an abundant number, since it is smaller than the sum of its proper divisors (122656536).

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

54146664 is a wasteful number, since it uses less digits than its factorization.

54146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54146664 is about 7358.4416828565. The cubic root of 54146664 is about 378.3182001921.

The spelling of 54146664 in words is "fifty-four million, one hundred forty-six thousand, six hundred sixty-four".