98983213056 has 960 divisors, whose sum is σ = 372929356800. Its totient is φ = 25464471552.

The previous prime is 98983213051. The next prime is 98983213061. The reversal of 98983213056 is 65031238989.

98983213056 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 321 + 305 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (98983213051) and next prime (98983213061).

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

It is a junction number, because it is equal to n+sod(n) for n = 98983212993 and 98983213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98983213051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1192568791 + ... + 1192568873.

It is an arithmetic number, because the mean of its divisors is an integer number (388468080).

Almost surely, 2^98983213056 is an apocalyptic number.

98983213056 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 98983213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186464678400).

98983213056 is an abundant number, since it is smaller than the sum of its proper divisors (273946143744).

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

98983213056 is a wasteful number, since it uses less digits than its factorization.

98983213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 98983213056 in words is "ninety-eight billion, nine hundred eighty-three million, two hundred thirteen thousand, fifty-six".