2453983214784 has 252 divisors, whose sum is σ = 6869640467448. Its totient is φ = 773090519040.

The previous prime is 2453983214779. The next prime is 2453983214789. The reversal of 2453983214784 is 4874123893542.

It is an interprime number because it is at equal distance from previous prime (2453983214779) and next prime (2453983214789).

It is a super-3 number, since 3×2453983214784³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2453983214789) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341159092 + ... + 341166284.

Almost surely, 2^{2453983214784} is an apocalyptic number.

2453983214784 is a gapful number since it is divisible by the number (24) 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 2453983214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434820233724).

2453983214784 is an abundant number, since it is smaller than the sum of its proper divisors (4415657252664).

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

2453983214784 is an equidigital number, since it uses as much as digits as its factorization.

2453983214784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7272 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 2453983214784 in words is "two trillion, four hundred fifty-three billion, nine hundred eighty-three million, two hundred fourteen thousand, seven hundred eighty-four".