12345343554240 has 84 divisors (see below), whose sum is σ = 42462837943344. Its totient is φ = 3292091613696.

The previous prime is 12345343554217. The next prime is 12345343554253. The reversal of 12345343554240 is 4245534354321.

12345343554240 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 34 + 35 + 542 + 40 = 666.

12345343554240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143285932 + ... + 2143291691.

It is an arithmetic number, because the mean of its divisors is an integer number (505509975516).

Almost surely, 2^{12345343554240} is an apocalyptic number.

12345343554240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345343554240 is an abundant number, since it is smaller than the sum of its proper divisors (30117494389104).

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

12345343554240 is a wasteful number, since it uses less digits than its factorization.

12345343554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286577646 (or 4286577633 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 12345343554240 in words is "twelve trillion, three hundred forty-five billion, three hundred forty-three million, five hundred fifty-four thousand, two hundred forty".