84854133000 has 1728 divisors, whose sum is σ = 388451110320. Its totient is φ = 16547328000.

The previous prime is 84854132977. The next prime is 84854133011. The reversal of 84854133000 is 33145848.

84854133000 is a `hidden beast` number, since 84 + 8 + 541 + 3 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7290768996 + 77563364004 = 85386^2 + 278502^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 2069612980 + ... + 2069613020.

Almost surely, 2^84854133000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84854133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194225555160).

84854133000 is an abundant number, since it is smaller than the sum of its proper divisors (303596977320).

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

84854133000 is a wasteful number, since it uses less digits than its factorization.

84854133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 84854133000 its reverse (33145848), we get a palindrome (84887278848).

The spelling of 84854133000 in words is "eighty-four billion, eight hundred fifty-four million, one hundred thirty-three thousand".