8044532496000 has 5376 divisors, whose sum is σ = 41247822170880. Its totient is φ = 1513893888000.

The previous prime is 8044532495981. The next prime is 8044532496017. The reversal of 8044532496000 is 6942354408.

8044532496000 is a `hidden beast` number, since 8 + 0 + 4 + 4 + 5 + 32 + 4 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 151783631974 + ... + 151783632026.

Almost surely, 2^{8044532496000} is an apocalyptic number.

8044532496000 is a gapful number since it is divisible by the number (80) 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 8044532496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623911085440).

8044532496000 is an abundant number, since it is smaller than the sum of its proper divisors (33203289674880).

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

8044532496000 is a wasteful number, since it uses less digits than its factorization.

8044532496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 8044532496000 in words is "eight trillion, forty-four billion, five hundred thirty-two million, four hundred ninety-six thousand".