345553121622240 has 576 divisors, whose sum is σ = 1391245576261632. Its totient is φ = 76429362585600.

The previous prime is 345553121622229. The next prime is 345553121622263. The reversal of 345553121622240 is 42226121355543.

345553121622240 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 5 + 3 + 12 + 1 + 622 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4450613820 + ... + 4450691460.

It is an arithmetic number, because the mean of its divisors is an integer number (2415356903232).

Almost surely, 2^{345553121622240} is an apocalyptic number.

345553121622240 is a gapful number since it is divisible by the number (30) 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 345553121622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695622788130816).

345553121622240 is an abundant number, since it is smaller than the sum of its proper divisors (1045692454639392).

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

345553121622240 is a wasteful number, since it uses less digits than its factorization.

345553121622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91943 (or 91932 counting only the distinct ones).

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

Adding to 345553121622240 its reverse (42226121355543), we get a palindrome (387779242977783).

The spelling of 345553121622240 in words is "three hundred forty-five trillion, five hundred fifty-three billion, one hundred twenty-one million, six hundred twenty-two thousand, two hundred forty".