345453451021440 has 384 divisors, whose sum is σ = 1198508439398400. Its totient is φ = 91687744512000.

The previous prime is 345453451021429. The next prime is 345453451021451. The reversal of 345453451021440 is 44120154354543.

345453451021440 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 53 + 451 + 0 + 2 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345453451021429) and next prime (345453451021451).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685760330 + ... + 2685888950.

It is an arithmetic number, because the mean of its divisors is an integer number (3121115727600).

Almost surely, 2^{345453451021440} is an apocalyptic number.

345453451021440 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 345453451021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599254219699200).

345453451021440 is an abundant number, since it is smaller than the sum of its proper divisors (853054988376960).

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

345453451021440 is a wasteful number, since it uses less digits than its factorization.

345453451021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130836 (or 130821 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 345453451021440 in words is "three hundred forty-five trillion, four hundred fifty-three billion, four hundred fifty-one million, twenty-one thousand, four hundred forty".