434352699648 has 720 divisors, whose sum is σ = 1547670491136. Its totient is φ = 118548541440.

The previous prime is 434352699643. The next prime is 434352699659. The reversal of 434352699648 is 846996253434.

434352699648 is a `hidden beast` number, since 4 + 3 + 43 + 526 + 9 + 9 + 64 + 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 (434352699643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 373475515 + ... + 373476677.

Almost surely, 2^434352699648 is an apocalyptic number.

434352699648 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 434352699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773835245568).

434352699648 is an abundant number, since it is smaller than the sum of its proper divisors (1113317791488).

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

434352699648 is a wasteful number, since it uses less digits than its factorization.

434352699648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1289 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 434352699648 in words is "four hundred thirty-four billion, three hundred fifty-two million, six hundred ninety-nine thousand, six hundred forty-eight".