434466937512 has 96 divisors (see below), whose sum is σ = 1220570376480. Its totient is φ = 144785724480.

The previous prime is 434466937507. The next prime is 434466937523. The reversal of 434466937512 is 215739664434.

434466937512 is a `hidden beast` number, since 4 + 34 + 4 + 6 + 6 + 93 + 7 + 512 = 666.

It is a super-2 number, since 2×434466937512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8300062 + ... + 8352242.

It is an arithmetic number, because the mean of its divisors is an integer number (12714274755).

Almost surely, 2^434466937512 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 434466937512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610285188240).

434466937512 is an abundant number, since it is smaller than the sum of its proper divisors (786103438968).

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

434466937512 is a wasteful number, since it uses less digits than its factorization.

434466937512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56485 (or 56469 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 434466937512 in words is "four hundred thirty-four billion, four hundred sixty-six million, nine hundred thirty-seven thousand, five hundred twelve".