2349488913408 has 2112 divisors, whose sum is σ = 9400044093440. Its totient is φ = 568865783808.

The previous prime is 2349488913353. The next prime is 2349488913413. The reversal of 2349488913408 is 8043198849432.

2349488913408 is a `hidden beast` number, since 2 + 3 + 494 + 8 + 8 + 9 + 134 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18499912641 + ... + 18499912767.

Almost surely, 2^{2349488913408} is an apocalyptic number.

2349488913408 is a gapful number since it is divisible by the number (28) 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 2349488913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700022046720).

2349488913408 is an abundant number, since it is smaller than the sum of its proper divisors (7050555180032).

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

2349488913408 is a wasteful number, since it uses less digits than its factorization.

2349488913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2349488913408 in words is "two trillion, three hundred forty-nine billion, four hundred eighty-eight million, nine hundred thirteen thousand, four hundred eight".