98479170144 has 480 divisors, whose sum is σ = 307882358784. Its totient is φ = 30837749760.

The previous prime is 98479170091. The next prime is 98479170149. The reversal of 98479170144 is 44107197489.

98479170144 is a `hidden beast` number, since 98 + 479 + 1 + 70 + 14 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98479170149) 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, 604166607 + ... + 604166769.

Almost surely, 2^98479170144 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 98479170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941179392).

98479170144 is an abundant number, since it is smaller than the sum of its proper divisors (209403188640).

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

98479170144 is a wasteful number, since it uses less digits than its factorization.

98479170144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 98479170144 in words is "ninety-eight billion, four hundred seventy-nine million, one hundred seventy thousand, one hundred forty-four".