2451313114104 has 128 divisors (see below), whose sum is σ = 6659432755200. Its totient is φ = 749671802880.

The previous prime is 2451313114097. The next prime is 2451313114111. The reversal of 2451313114104 is 4014113131542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2451313114097) and next prime (2451313114111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299802 + ... + 2567510.

It is an arithmetic number, because the mean of its divisors is an integer number (52026818400).

Almost surely, 2^{2451313114104} is an apocalyptic number.

2451313114104 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 2451313114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329716377600).

2451313114104 is an abundant number, since it is smaller than the sum of its proper divisors (4208119641096).

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

2451313114104 is a wasteful number, since it uses less digits than its factorization.

2451313114104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267885 (or 1267881 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 2451313114104 its reverse (4014113131542), we get a palindrome (6465426245646).

The spelling of 2451313114104 in words is "two trillion, four hundred fifty-one billion, three hundred thirteen million, one hundred fourteen thousand, one hundred four".