988245498240 has 4096 divisors, whose sum is σ = 5158895616000. Its totient is φ = 171992678400.

The previous prime is 988245498199. The next prime is 988245498293. The reversal of 988245498240 is 42894542889.

988245498240 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 4 + 549 + 82 + 4 + 0 = 666.

It is a super-3 number, since 3×988245498240³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10188097872 + ... + 10188097968.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496000).

Almost surely, 2^988245498240 is an apocalyptic number.

988245498240 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 988245498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579447808000).

988245498240 is an abundant number, since it is smaller than the sum of its proper divisors (4170650117760).

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

988245498240 is a wasteful number, since it uses less digits than its factorization.

988245498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 988245498240 in words is "nine hundred eighty-eight billion, two hundred forty-five million, four hundred ninety-eight thousand, two hundred forty".