9354854297880 has 3072 divisors, whose sum is σ = 43041167769600. Its totient is φ = 1706012098560.

The previous prime is 9354854297863. The next prime is 9354854297983. The reversal of 9354854297880 is 887924584539.

9354854297880 is a `hidden beast` number, since 9 + 3 + 5 + 4 + 8 + 542 + 9 + 78 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9354854297799 and 9354854297808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 47486569942 + ... + 47486570138.

It is an arithmetic number, because the mean of its divisors is an integer number (14010796800).

Almost surely, 2^{9354854297880} is an apocalyptic number.

9354854297880 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 9354854297880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520583884800).

9354854297880 is an abundant number, since it is smaller than the sum of its proper divisors (33686313471720).

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

9354854297880 is a wasteful number, since it uses less digits than its factorization.

9354854297880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 9354854297880 in words is "nine trillion, three hundred fifty-four billion, eight hundred fifty-four million, two hundred ninety-seven thousand, eight hundred eighty".