434249482048 has 224 divisors, whose sum is σ = 928056600576. Its totient is φ = 201277440000.

The previous prime is 434249482039. The next prime is 434249482091. The reversal of 434249482048 is 840284942434.

It is a super-2 number, since 2×434249482048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434249481986 and 434249482004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833492028 + ... + 833492548.

It is an arithmetic number, because the mean of its divisors is an integer number (4143109824).

Almost surely, 2^434249482048 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 434249482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464028300288).

434249482048 is an abundant number, since it is smaller than the sum of its proper divisors (493807118528).

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

434249482048 is a wasteful number, since it uses less digits than its factorization.

434249482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 52.

The spelling of 434249482048 in words is "four hundred thirty-four billion, two hundred forty-nine million, four hundred eighty-two thousand, forty-eight".