2345823535104 has 960 divisors, whose sum is σ = 8640334412820. Its totient is φ = 630215147520.

The previous prime is 2345823535073. The next prime is 2345823535117. The reversal of 2345823535104 is 4015353285432.

2345823535104 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 8 + 2 + 3 + 535 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2225586585600 + 120236949504 = 1491840^2 + 346752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2345823535104.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2210954734 + ... + 2210955794.

Almost surely, 2^{2345823535104} is an apocalyptic number.

2345823535104 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 2345823535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320167206410).

2345823535104 is an abundant number, since it is smaller than the sum of its proper divisors (6294510877716).

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

2345823535104 is an equidigital number, since it uses as much as digits as its factorization.

2345823535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2345823535104 in words is "two trillion, three hundred forty-five billion, eight hundred twenty-three million, five hundred thirty-five thousand, one hundred four".