1945148688 has 240 divisors, whose sum is σ = 6649008960. Its totient is φ = 542578176.

The previous prime is 1945148683. The next prime is 1945148701. The reversal of 1945148688 is 8868415491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1945148683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909156 + ... + 911292.

It is an arithmetic number, because the mean of its divisors is an integer number (27704204).

Almost surely, 2^1945148688 is an apocalyptic number.

1945148688 is a gapful number since it is divisible by the number (18) 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 1945148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324504480).

1945148688 is an abundant number, since it is smaller than the sum of its proper divisors (4703860272).

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

1945148688 is a wasteful number, since it uses less digits than its factorization.

1945148688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2192 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 1945148688 is about 44103.8398328309. The cubic root of 1945148688 is about 1248.2960651135.

The spelling of 1945148688 in words is "one billion, nine hundred forty-five million, one hundred forty-eight thousand, six hundred eighty-eight".