434196459648 has 768 divisors, whose sum is σ = 1542522009600. Its totient is φ = 114573312000.

The previous prime is 434196459629. The next prime is 434196459649. The reversal of 434196459648 is 846954691434.

It is a happy number.

434196459648 is a `hidden beast` number, since 4 + 34 + 1 + 9 + 6 + 4 + 596 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (434196459649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732202840 + ... + 732203432.

It is an arithmetic number, because the mean of its divisors is an integer number (2008492200).

Almost surely, 2^434196459648 is an apocalyptic number.

434196459648 is a gapful number since it is divisible by the number (48) 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 434196459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771261004800).

434196459648 is an abundant number, since it is smaller than the sum of its proper divisors (1108325549952).

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

434196459648 is a wasteful number, since it uses less digits than its factorization.

434196459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 434196459648 in words is "four hundred thirty-four billion, one hundred ninety-six million, four hundred fifty-nine thousand, six hundred forty-eight".