2348098968960 has 1152 divisors, whose sum is σ = 9015247200960. Its totient is φ = 583341834240.

The previous prime is 2348098968949. The next prime is 2348098968979. The reversal of 2348098968960 is 698698908432.

It is a happy number.

2348098968960 is a `hidden beast` number, since 2 + 3 + 480 + 9 + 8 + 9 + 6 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 3959694424 + ... + 3959695016.

Almost surely, 2^{2348098968960} is an apocalyptic number.

2348098968960 is a gapful number since it is divisible by the number (20) 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 2348098968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507623600480).

2348098968960 is an abundant number, since it is smaller than the sum of its proper divisors (6667148232000).

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

2348098968960 is an frugal number, since it uses more digits than its factorization.

2348098968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 2348098968960 in words is "two trillion, three hundred forty-eight billion, ninety-eight million, nine hundred sixty-eight thousand, nine hundred sixty".