2345436497664 has 288 divisors, whose sum is σ = 7561634920000. Its totient is φ = 721670529024.

The previous prime is 2345436497633. The next prime is 2345436497669. The reversal of 2345436497664 is 4667946345432.

2345436497664 is a `hidden beast` number, since 2 + 3 + 4 + 54 + 36 + 497 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345436497669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7117212 + ... + 7439460.

Almost surely, 2^{2345436497664} is an apocalyptic number.

2345436497664 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 2345436497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780817460000).

2345436497664 is an abundant number, since it is smaller than the sum of its proper divisors (5216198422336).

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

2345436497664 is an frugal number, since it uses more digits than its factorization.

2345436497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322299 (or 322267 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 2345436497664 in words is "two trillion, three hundred forty-five billion, four hundred thirty-six million, four hundred ninety-seven thousand, six hundred sixty-four".