8434948354560 has 960 divisors, whose sum is σ = 37846460171520. Its totient is φ = 1686006005760.

The previous prime is 8434948354543. The next prime is 8434948354589. The reversal of 8434948354560 is 654538494348.

8434948354560 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 9 + 4 + 83 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8434948354560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 39730290 + ... + 39942030.

It is an arithmetic number, because the mean of its divisors is an integer number (39423396012).

Almost surely, 2^{8434948354560} is an apocalyptic number.

8434948354560 is a gapful number since it is divisible by the number (80) 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 8434948354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923230085760).

8434948354560 is an abundant number, since it is smaller than the sum of its proper divisors (29411511816960).

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

8434948354560 is a wasteful number, since it uses less digits than its factorization.

8434948354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211809 (or 211790 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 8434948354560 in words is "eight trillion, four hundred thirty-four billion, nine hundred forty-eight million, three hundred fifty-four thousand, five hundred sixty".