8049700997184 has 448 divisors, whose sum is σ = 27964019865600. Its totient is φ = 1979873280000.

The previous prime is 8049700997167. The next prime is 8049700997237. The reversal of 8049700997184 is 4817990079408.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×8049700997184² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766559934 + ... + 766570434.

It is an arithmetic number, because the mean of its divisors is an integer number (62419687200).

Almost surely, 2^{8049700997184} is an apocalyptic number.

8049700997184 is a gapful number since it is divisible by the number (84) 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 8049700997184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982009932800).

8049700997184 is an abundant number, since it is smaller than the sum of its proper divisors (19914318868416).

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

8049700997184 is a wasteful number, since it uses less digits than its factorization.

8049700997184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 66.

The spelling of 8049700997184 in words is "eight trillion, forty-nine billion, seven hundred million, nine hundred ninety-seven thousand, one hundred eighty-four".