434180104654464 has 768 divisors, whose sum is σ = 1505753069184000. Its totient is φ = 122795448588288.

The previous prime is 434180104654403. The next prime is 434180104654487. The reversal of 434180104654464 is 464456401081434.

434180104654464 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 80 + 1 + 0 + 465 + 44 + 64 = 666.

It is a super-2 number, since 2×434180104654464² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 434180104654464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63821855287 + ... + 63821862089.

It is an arithmetic number, because the mean of its divisors is an integer number (1960615975500).

Almost surely, 2^{434180104654464} 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 434180104654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752876534592000).

434180104654464 is an abundant number, since it is smaller than the sum of its proper divisors (1071572964529536).

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

434180104654464 is a wasteful number, since it uses less digits than its factorization.

434180104654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 434180104654464 in words is "four hundred thirty-four trillion, one hundred eighty billion, one hundred four million, six hundred fifty-four thousand, four hundred sixty-four".