8804137146000 has 640 divisors, whose sum is σ = 32948557824000. Its totient is φ = 1980947404800.

The previous prime is 8804137145983. The next prime is 8804137146017. The reversal of 8804137146000 is 6417314088.

It is an interprime number because it is at equal distance from previous prime (8804137145983) and next prime (8804137146017).

It is a super-3 number, since 3×8804137146000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157978199 + ... + 1157985801.

It is an arithmetic number, because the mean of its divisors is an integer number (51482121600).

Almost surely, 2^{8804137146000} is an apocalyptic number.

8804137146000 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 8804137146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474278912000).

8804137146000 is an abundant number, since it is smaller than the sum of its proper divisors (24144420678000).

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

8804137146000 is a wasteful number, since it uses less digits than its factorization.

8804137146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 8804137146000 in words is "eight trillion, eight hundred four billion, one hundred thirty-seven million, one hundred forty-six thousand".