6145148880 has 480 divisors, whose sum is σ = 23203514880. Its totient is φ = 1447649280.

The previous prime is 6145148869. The next prime is 6145148887. The reversal of 6145148880 is 888415416.

It is a Cunningham number, because it is equal to 78391²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145148887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25711801 + ... + 25712039.

It is an arithmetic number, because the mean of its divisors is an integer number (48340656).

Almost surely, 2^6145148880 is an apocalyptic number.

6145148880 is a gapful number since it is divisible by the number (60) 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 6145148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601757440).

6145148880 is an abundant number, since it is smaller than the sum of its proper divisors (17058366000).

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

6145148880 is a wasteful number, since it uses less digits than its factorization.

6145148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 6145148880 is about 78390.9999936217. Note that the first 5 decimals coincide. The cubic root of 6145148880 is about 1831.6569423678.

The spelling of 6145148880 in words is "six billion, one hundred forty-five million, one hundred forty-eight thousand, eight hundred eighty".