6149219328 has 660 divisors, whose sum is σ = 22871417580. Its totient is φ = 1634992128.

The previous prime is 6149219317. The next prime is 6149219339. The reversal of 6149219328 is 8239129416.

6149219328 is a `hidden beast` number, since 614 + 9 + 2 + 1 + 9 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6149219317) and next prime (6149219339).

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 3186376704 = 54432^2 + 56448^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69092308 + ... + 69092396.

It is an arithmetic number, because the mean of its divisors is an integer number (34653663).

Almost surely, 2^6149219328 is an apocalyptic number.

6149219328 is a gapful number since it is divisible by the number (68) 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 6149219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435708790).

6149219328 is an abundant number, since it is smaller than the sum of its proper divisors (16722198252).

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

6149219328 is a wasteful number, since it uses less digits than its factorization.

6149219328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6149219328 is about 78416.9581659478. The cubic root of 6149219328 is about 1832.0612731615.

The spelling of 6149219328 in words is "six billion, one hundred forty-nine million, two hundred nineteen thousand, three hundred twenty-eight".