2314149107088 has 1280 divisors, whose sum is σ = 8332266700800. Its totient is φ = 536203100160.

The previous prime is 2314149106993. The next prime is 2314149107099. The reversal of 2314149107088 is 8807019414132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10377350145 + ... + 10377350367.

It is an arithmetic number, because the mean of its divisors is an integer number (6509583360).

Almost surely, 2^{2314149107088} is an apocalyptic number.

2314149107088 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 2314149107088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166133350400).

2314149107088 is an abundant number, since it is smaller than the sum of its proper divisors (6018117593712).

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

2314149107088 is a wasteful number, since it uses less digits than its factorization.

2314149107088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 2314149107088 in words is "two trillion, three hundred fourteen billion, one hundred forty-nine million, one hundred seven thousand, eighty-eight".