84501818100000 has 2592 divisors, whose sum is σ = 364524215956992. Its totient is φ = 18492364800000.

The previous prime is 84501818099983. The next prime is 84501818100047. The reversal of 84501818100000 is 181810548.

It is a happy number.

It is a super-2 number, since 2×84501818100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 154482299727 + ... + 154482300273.

It is an arithmetic number, because the mean of its divisors is an integer number (140634342576).

Almost surely, 2^{84501818100000} is an apocalyptic number.

84501818100000 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 84501818100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182262107978496).

84501818100000 is an abundant number, since it is smaller than the sum of its proper divisors (280022397856992).

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

84501818100000 is a wasteful number, since it uses less digits than its factorization.

84501818100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

Adding to 84501818100000 its reverse (181810548), we get a palindrome (84501999910548).

The spelling of 84501818100000 in words is "eighty-four trillion, five hundred one billion, eight hundred eighteen million, one hundred thousand".