434446636092 has 192 divisors, whose sum is σ = 1236200361984. Its totient is φ = 115922304000.

The previous prime is 434446636081. The next prime is 434446636093. The reversal of 434446636092 is 290636644434.

It is a super-2 number, since 2×434446636092² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434446636093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101432983 + ... + 101437265.

It is an arithmetic number, because the mean of its divisors is an integer number (6438543552).

Almost surely, 2^434446636092 is an apocalyptic number.

434446636092 is a gapful number since it is divisible by the number (42) 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 434446636092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618100180992).

434446636092 is an abundant number, since it is smaller than the sum of its proper divisors (801753725892).

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

434446636092 is a wasteful number, since it uses less digits than its factorization.

434446636092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 51.

The spelling of 434446636092 in words is "four hundred thirty-four billion, four hundred forty-six million, six hundred thirty-six thousand, ninety-two".