988193981376 has 1120 divisors, whose sum is σ = 3726931709952. Its totient is φ = 252255928320.

The previous prime is 988193981371. The next prime is 988193981381. The reversal of 988193981376 is 673189391889.

988193981376 is a `hidden beast` number, since 9 + 8 + 81 + 93 + 98 + 1 + 376 = 666.

It is an interprime number because it is at equal distance from previous prime (988193981371) and next prime (988193981381).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988193981371) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3646472121 + ... + 3646472391.

Almost surely, 2^988193981376 is an apocalyptic number.

988193981376 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 988193981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863465854976).

988193981376 is an abundant number, since it is smaller than the sum of its proper divisors (2738737728576).

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

988193981376 is a wasteful number, since it uses less digits than its factorization.

988193981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 72.

The spelling of 988193981376 in words is "nine hundred eighty-eight billion, one hundred ninety-three million, nine hundred eighty-one thousand, three hundred seventy-six".