354024304000000 has 616 divisors, whose sum is σ = 915956806852800. Its totient is φ = 136676966400000.

The previous prime is 354024303999937. The next prime is 354024304000033. The reversal of 354024304000000 is 403420453.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54895996776 + ... + 54896003224.

Almost surely, 2^{354024304000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354024304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457978403426400).

354024304000000 is an abundant number, since it is smaller than the sum of its proper divisors (561932502852800).

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

354024304000000 is an frugal number, since it uses more digits than its factorization.

354024304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 354024304000000 its reverse (403420453), we get a palindrome (354024707420453).

The spelling of 354024304000000 in words is "three hundred fifty-four trillion, twenty-four billion, three hundred four million", and thus it is an aban number.