1948230144 has 240 divisors, whose sum is σ = 6666948288. Its totient is φ = 556388352.

The previous prime is 1948230103. The next prime is 1948230149. The reversal of 1948230144 is 4410328491.

It is a happy number.

1948230144 is a `hidden beast` number, since 1 + 9 + 482 + 30 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1948230099 and 1948230108.

It is not an unprimeable number, because it can be changed into a prime (1948230149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869794 + ... + 872030.

Almost surely, 2^1948230144 is an apocalyptic number.

1948230144 is a gapful number since it is divisible by the number (14) 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 1948230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333474144).

1948230144 is an abundant number, since it is smaller than the sum of its proper divisors (4718718144).

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

1948230144 is an frugal number, since it uses more digits than its factorization.

1948230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1948230144 is about 44138.7601094548. The cubic root of 1948230144 is about 1248.9548904938.

The spelling of 1948230144 in words is "one billion, nine hundred forty-eight million, two hundred thirty thousand, one hundred forty-four".