8219450498688 has 768 divisors, whose sum is σ = 29122991856000. Its totient is φ = 2249930096640.

The previous prime is 8219450498647. The next prime is 8219450498717. The reversal of 8219450498688 is 8868940549128.

8219450498688 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 4 + 50 + 498 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091701708 + ... + 1091709236.

Almost surely, 2^{8219450498688} is an apocalyptic number.

8219450498688 is a gapful number since it is divisible by the number (88) 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 8219450498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561495928000).

8219450498688 is an abundant number, since it is smaller than the sum of its proper divisors (20903541357312).

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

8219450498688 is a wasteful number, since it uses less digits than its factorization.

8219450498688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 8219450498688 in words is "eight trillion, two hundred nineteen billion, four hundred fifty million, four hundred ninety-eight thousand, six hundred eighty-eight".