9854148933720 has 1152 divisors, whose sum is σ = 41374283932800. Its totient is φ = 2014607572992.

The previous prime is 9854148933709. The next prime is 9854148933721. The reversal of 9854148933720 is 273398414589.

9854148933720 is a `hidden beast` number, since 9 + 8 + 54 + 1 + 489 + 33 + 72 + 0 = 666.

9854148933720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9854148933721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2180601621 + ... + 2180606139.

It is an arithmetic number, because the mean of its divisors is an integer number (35915177025).

Almost surely, 2^{9854148933720} is an apocalyptic number.

9854148933720 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 9854148933720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687141966400).

9854148933720 is an abundant number, since it is smaller than the sum of its proper divisors (31520134999080).

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

9854148933720 is a wasteful number, since it uses less digits than its factorization.

9854148933720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 9854148933720 in words is "nine trillion, eight hundred fifty-four billion, one hundred forty-eight million, nine hundred thirty-three thousand, seven hundred twenty".