1948654125 has 64 divisors (see below), whose sum is σ = 3930451200. Its totient is φ = 944784000.

The previous prime is 1948654111. The next prime is 1948654157. The reversal of 1948654125 is 5214568491.

1948654125 is a `hidden beast` number, since 1 + 9 + 4 + 86 + 541 + 25 = 666.

It is not a de Polignac number, because 1948654125 - 2⁶ = 1948654061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10881 + ... + 63369.

It is an arithmetic number, because the mean of its divisors is an integer number (61413300).

Almost surely, 2^1948654125 is an apocalyptic number.

1948654125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1948654125 is an abundant number, since it is smaller than the sum of its proper divisors (1981797075).

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

1948654125 is a wasteful number, since it uses less digits than its factorization.

1948654125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52524 (or 52508 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1948654125 is about 44143.5626677322. The cubic root of 1948654125 is about 1249.0454846392.

The spelling of 1948654125 in words is "one billion, nine hundred forty-eight million, six hundred fifty-four thousand, one hundred twenty-five".