434603973370896 has 360 divisors, whose sum is σ = 1418971352610240. Its totient is φ = 123812332503552.

The previous prime is 434603973370811. The next prime is 434603973370997. The reversal of 434603973370896 is 698073379306434.

It is a happy number.

434603973370896 is a `hidden beast` number, since 4 + 3 + 4 + 60 + 397 + 33 + 70 + 89 + 6 = 666.

It is a super-2 number, since 2×434603973370896² (a number of 30 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 13956886495 + ... + 13956917633.

It is an arithmetic number, because the mean of its divisors is an integer number (3941587090584).

Almost surely, 2^{434603973370896} 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 434603973370896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709485676305120).

434603973370896 is an abundant number, since it is smaller than the sum of its proper divisors (984367379239344).

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

434603973370896 is a wasteful number, since it uses less digits than its factorization.

434603973370896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36843 (or 36827 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 72.

The spelling of 434603973370896 in words is "four hundred thirty-four trillion, six hundred three billion, nine hundred seventy-three million, three hundred seventy thousand, eight hundred ninety-six".