9874650816 has 224 divisors, whose sum is σ = 31020512000. Its totient is φ = 3071768832.

The previous prime is 9874650803. The next prime is 9874650827. The reversal of 9874650816 is 6180564789.

9874650816 is a `hidden beast` number, since 9 + 87 + 46 + 508 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9874650816 = 268³ + 2144³ = 1206³ + 2010³.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147382815 + ... + 147382881.

Almost surely, 2^9874650816 is an apocalyptic number.

9874650816 is a gapful number since it is divisible by the number (96) 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 9874650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510256000).

9874650816 is an abundant number, since it is smaller than the sum of its proper divisors (21145861184).

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

9874650816 is an frugal number, since it uses more digits than its factorization.

9874650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9874650816 is about 99371.2776208498. The cubic root of 9874650816 is about 2145.3949255724.

The spelling of 9874650816 in words is "nine billion, eight hundred seventy-four million, six hundred fifty thousand, eight hundred sixteen".