2345310135432 has 144 divisors (see below), whose sum is σ = 7014914983440. Its totient is φ = 707331240000.

The previous prime is 2345310135403. The next prime is 2345310135433.

2345310135432 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 3 + 101 + 3 + 543 + 2 = 666.

2345310135432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2345310135433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1200307 + ... + 2476157.

It is an arithmetic number, because the mean of its divisors is an integer number (48714687385).

Almost surely, 2^{2345310135432} is an apocalyptic number.

2345310135432 is a gapful number since it is divisible by the number (22) 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 2345310135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507457491720).

2345310135432 is an abundant number, since it is smaller than the sum of its proper divisors (4669604848008).

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

2345310135432 is a wasteful number, since it uses less digits than its factorization.

2345310135432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276096 (or 1276078 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2345310135432 in words is "two trillion, three hundred forty-five billion, three hundred ten million, one hundred thirty-five thousand, four hundred thirty-two".