98838413406 has 224 divisors, whose sum is σ = 246866833728. Its totient is φ = 29506498560.

The previous prime is 98838413381. The next prime is 98838413407. The reversal of 98838413406 is 60431483889.

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 (98838413407) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160191610 + ... + 160192226.

Almost surely, 2^98838413406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98838413406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123433416864).

98838413406 is an abundant number, since it is smaller than the sum of its proper divisors (148028420322).

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

98838413406 is a wasteful number, since it uses less digits than its factorization.

98838413406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 98838413406 in words is "ninety-eight billion, eight hundred thirty-eight million, four hundred thirteen thousand, four hundred six".