9854307348480 has 1664 divisors, whose sum is σ = 41665742899200. Its totient is φ = 2162521276416.

The previous prime is 9854307348463. The next prime is 9854307348497. The reversal of 9854307348480 is 848437034589.

9854307348480 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 3 + 0 + 73 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9854307348463) and next prime (9854307348497).

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 127 ways as a sum of consecutive naturals, for example, 11886980706 + ... + 11886981534.

Almost surely, 2^{9854307348480} is an apocalyptic number.

9854307348480 is a gapful number since it is divisible by the number (90) 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 9854307348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832871449600).

9854307348480 is an abundant number, since it is smaller than the sum of its proper divisors (31811435550720).

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

9854307348480 is a wasteful number, since it uses less digits than its factorization.

9854307348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 9854307348480 in words is "nine trillion, eight hundred fifty-four billion, three hundred seven million, three hundred forty-eight thousand, four hundred eighty".