434674368190656 has 2352 divisors, whose sum is σ = 1553289581979520. Its totient is φ = 120122105241600.

The previous prime is 434674368190619. The next prime is 434674368190681. The reversal of 434674368190656 is 656091863476434.

434674368190656 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 74 + 368 + 190 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 336695869371 + ... + 336695870661.

Almost surely, 2^{434674368190656} 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 434674368190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776644790989760).

434674368190656 is an abundant number, since it is smaller than the sum of its proper divisors (1118615213788864).

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

434674368190656 is a wasteful number, since it uses less digits than its factorization.

434674368190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 434674368190656 in words is "four hundred thirty-four trillion, six hundred seventy-four billion, three hundred sixty-eight million, one hundred ninety thousand, six hundred fifty-six".