6145082496 has 320 divisors, whose sum is σ = 21048540480. Its totient is φ = 1743316992.

The previous prime is 6145082459. The next prime is 6145082551. The reversal of 6145082496 is 6942805416.

6145082496 is a `hidden beast` number, since 614 + 5 + 0 + 8 + 24 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16474566 + ... + 16474938.

It is an arithmetic number, because the mean of its divisors is an integer number (65776689).

Almost surely, 2^6145082496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524270240).

6145082496 is an abundant number, since it is smaller than the sum of its proper divisors (14903457984).

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

6145082496 is a wasteful number, since it uses less digits than its factorization.

6145082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6145082496 is about 78390.5765765248. The cubic root of 6145082496 is about 1831.6503467504.

The spelling of 6145082496 in words is "six billion, one hundred forty-five million, eighty-two thousand, four hundred ninety-six".