8045633546496 has 2592 divisors, whose sum is σ = 32510618370048. Its totient is φ = 1930080337920.

The previous prime is 8045633546491. The next prime is 8045633546501. The reversal of 8045633546496 is 6946453365408.

8045633546496 is a `hidden beast` number, since 8 + 0 + 4 + 56 + 3 + 35 + 464 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (8045633546491) and next prime (8045633546501).

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (8045633546491) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63351445185 + ... + 63351445311.

Almost surely, 2^{8045633546496} 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 8045633546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255309185024).

8045633546496 is an abundant number, since it is smaller than the sum of its proper divisors (24464984823552).

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

8045633546496 is a wasteful number, since it uses less digits than its factorization.

8045633546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 8045633546496 in words is "eight trillion, forty-five billion, six hundred thirty-three million, five hundred forty-six thousand, four hundred ninety-six".