3248618196096 has 512 divisors, whose sum is σ = 11846747404800. Its totient is φ = 853423423488.

The previous prime is 3248618196073. The next prime is 3248618196127. The reversal of 3248618196096 is 6906918168423.

3248618196096 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 6 + 1 + 8 + 19 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80805376 + ... + 80845568.

It is an arithmetic number, because the mean of its divisors is an integer number (23138178525).

Almost surely, 2^{3248618196096} is an apocalyptic number.

3248618196096 is a gapful number since it is divisible by the number (36) 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 3248618196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923373702400).

3248618196096 is an abundant number, since it is smaller than the sum of its proper divisors (8598129208704).

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

3248618196096 is a wasteful number, since it uses less digits than its factorization.

3248618196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40493 (or 40475 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 3248618196096 in words is "three trillion, two hundred forty-eight billion, six hundred eighteen million, one hundred ninety-six thousand, ninety-six".