84287361024 has 312 divisors, whose sum is σ = 265832679840. Its totient is φ = 26611089408.

The previous prime is 84287361023. The next prime is 84287361073. The reversal of 84287361024 is 42016378248.

It is a happy number.

84287361024 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 7 + 3 + 610 + 24 = 666.

It is a super-2 number, since 2×84287361024² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84287361023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18909004 + ... + 18913460.

It is an arithmetic number, because the mean of its divisors is an integer number (852027820).

Almost surely, 2^84287361024 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 84287361024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132916339920).

84287361024 is an abundant number, since it is smaller than the sum of its proper divisors (181545318816).

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

84287361024 is an equidigital number, since it uses as much as digits as its factorization.

84287361024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 84287361024 in words is "eighty-four billion, two hundred eighty-seven million, three hundred sixty-one thousand, twenty-four".