2391344514468 has 576 divisors, whose sum is σ = 7795394740224. Its totient is φ = 601219584000.

The previous prime is 2391344514413. The next prime is 2391344514469. The reversal of 2391344514468 is 8644154431932.

2391344514468 is a `hidden beast` number, since 2 + 3 + 9 + 134 + 45 + 1 + 4 + 468 = 666.

It is a super-2 number, since 2×2391344514468² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2391344514469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2191882603 + ... + 2191883693.

It is an arithmetic number, because the mean of its divisors is an integer number (13533671424).

Almost surely, 2^{2391344514468} is an apocalyptic number.

2391344514468 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 2391344514468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897697370112).

2391344514468 is an abundant number, since it is smaller than the sum of its proper divisors (5404050225756).

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

2391344514468 is a wasteful number, since it uses less digits than its factorization.

2391344514468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1451 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 2391344514468 in words is "two trillion, three hundred ninety-one billion, three hundred forty-four million, five hundred fourteen thousand, four hundred sixty-eight".