6496233149952 has 960 divisors, whose sum is σ = 23952687644160. Its totient is φ = 1702082543616.

The previous prime is 6496233149951. The next prime is 6496233149963. The reversal of 6496233149952 is 2599413326946.

6496233149952 is a `hidden beast` number, since 6 + 4 + 9 + 62 + 3 + 31 + 499 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6496233149952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496233149951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2665666878 + ... + 2665669314.

It is an arithmetic number, because the mean of its divisors is an integer number (24950716296).

Almost surely, 2^{6496233149952} 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 6496233149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976343822080).

6496233149952 is an abundant number, since it is smaller than the sum of its proper divisors (17456454494208).

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

6496233149952 is a wasteful number, since it uses less digits than its factorization.

6496233149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2625 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 6496233149952 in words is "six trillion, four hundred ninety-six billion, two hundred thirty-three million, one hundred forty-nine thousand, nine hundred fifty-two".