48114000 has 320 divisors, whose sum is σ = 190344960. Its totient is φ = 11664000.

The previous prime is 48113993. The next prime is 48114007. The reversal of 48114000 is 41184.

It is an interprime number because it is at equal distance from previous prime (48113993) and next prime (48114007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48114007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373995 + ... + 4374005.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 2^48114000 is an apocalyptic number.

48114000 is a gapful number since it is divisible by the number (40) 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 48114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

48114000 is an abundant number, since it is smaller than the sum of its proper divisors (142230960).

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

48114000 is an equidigital number, since it uses as much as digits as its factorization.

48114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 48114000 is about 6936.4255924792. The cubic root of 48114000 is about 363.7116018560.

Adding to 48114000 its reverse (41184), we get a palindrome (48155184).

The spelling of 48114000 in words is "forty-eight million, one hundred fourteen thousand".