98468559763392 has 448 divisors, whose sum is σ = 351223509611520. Its totient is φ = 23599265808384.

The previous prime is 98468559763333. The next prime is 98468559763393. The reversal of 98468559763392 is 29336795586489.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98468559763393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897883 + ... + 14329509.

It is an arithmetic number, because the mean of its divisors is an integer number (783981048240).

Almost surely, 2^{98468559763392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98468559763392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175611754805760).

98468559763392 is an abundant number, since it is smaller than the sum of its proper divisors (252754949848128).

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

98468559763392 is a wasteful number, since it uses less digits than its factorization.

98468559763392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431708 (or 11431698 counting only the distinct ones).

The product of its digits is 21163161600, while the sum is 84.

The spelling of 98468559763392 in words is "ninety-eight trillion, four hundred sixty-eight billion, five hundred fifty-nine million, seven hundred sixty-three thousand, three hundred ninety-two".