2345111878824 has 768 divisors, whose sum is σ = 8052103987200. Its totient is φ = 629625830400.

The previous prime is 2345111878807. The next prime is 2345111878861. The reversal of 2345111878824 is 4288781115432.

2345111878824 is a `hidden beast` number, since 2 + 3 + 451 + 1 + 187 + 8 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1539796927 + ... + 1539798449.

It is an arithmetic number, because the mean of its divisors is an integer number (10484510400).

Almost surely, 2^{2345111878824} is an apocalyptic number.

2345111878824 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 2345111878824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026051993600).

2345111878824 is an abundant number, since it is smaller than the sum of its proper divisors (5706992108376).

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

2345111878824 is a wasteful number, since it uses less digits than its factorization.

2345111878824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1772 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 2345111878824 in words is "two trillion, three hundred forty-five billion, one hundred eleven million, eight hundred seventy-eight thousand, eight hundred twenty-four".