98148653400 has 768 divisors, whose sum is σ = 393403392000. Its totient is φ = 19701964800.

The previous prime is 98148653399. The next prime is 98148653413. The reversal of 98148653400 is 435684189.

It is a self number, because there is not a number n which added to its sum of digits gives 98148653400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96318091 + ... + 96319109.

It is an arithmetic number, because the mean of its divisors is an integer number (512244000).

Almost surely, 2^98148653400 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 98148653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196701696000).

98148653400 is an abundant number, since it is smaller than the sum of its proper divisors (295254738600).

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

98148653400 is a wasteful number, since it uses less digits than its factorization.

98148653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 98148653400 in words is "ninety-eight billion, one hundred forty-eight million, six hundred fifty-three thousand, four hundred".