84635669448 has 336 divisors, whose sum is σ = 264729409200. Its totient is φ = 25145951040.

The previous prime is 84635669431. The next prime is 84635669477. The reversal of 84635669448 is 84496653648.

84635669448 is a `hidden beast` number, since 8 + 4 + 63 + 566 + 9 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×84635669448² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 223312923 + ... + 223313301.

Almost surely, 2^84635669448 is an apocalyptic number.

84635669448 is a gapful number since it is divisible by the number (88) 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 84635669448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132364704600).

84635669448 is an abundant number, since it is smaller than the sum of its proper divisors (180093739752).

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

84635669448 is a wasteful number, since it uses less digits than its factorization.

84635669448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 454 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 84635669448 in words is "eighty-four billion, six hundred thirty-five million, six hundred sixty-nine thousand, four hundred forty-eight".