6145081344 has 192 divisors, whose sum is σ = 18075077280. Its totient is φ = 2011299840.

The previous prime is 6145081331. The next prime is 6145081351. The reversal of 6145081344 is 4431805416.

6145081344 is a `hidden beast` number, since 6 + 14 + 508 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 6145081299 and 6145081308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19758949 + ... + 19759259.

Almost surely, 2^6145081344 is an apocalyptic number.

6145081344 is a gapful number since it is divisible by the number (64) 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 6145081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037538640).

6145081344 is an abundant number, since it is smaller than the sum of its proper divisors (11929995936).

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

6145081344 is an equidigital number, since it uses as much as digits as its factorization.

6145081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6145081344 is about 78390.5692287025. The cubic root of 6145081344 is about 1831.6502322924.

The spelling of 6145081344 in words is "six billion, one hundred forty-five million, eighty-one thousand, three hundred forty-four".