2345053544000 has 112 divisors (see below), whose sum is σ = 5810682639216. Its totient is φ = 937511424000.

The previous prime is 2345053543969. The next prime is 2345053544011. The reversal of 2345053544000 is 4453505432.

It can be written as a sum of positive squares in 8 ways, for example, as 1236615169024 + 1108438374976 = 1112032^2 + 1052824^2 .

It is a super-2 number, since 2×2345053544000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14809244 + ... + 14966756.

It is an arithmetic number, because the mean of its divisors is an integer number (51881094993).

Almost surely, 2^{2345053544000} is an apocalyptic number.

2345053544000 is a gapful number since it is divisible by the number (20) 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 2345053544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905341319608).

2345053544000 is an abundant number, since it is smaller than the sum of its proper divisors (3465629095216).

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

2345053544000 is a wasteful number, since it uses less digits than its factorization.

2345053544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159401 (or 159381 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 2345053544000 in words is "two trillion, three hundred forty-five billion, fifty-three million, five hundred forty-four thousand".