354225111445440 has 672 divisors, whose sum is σ = 1301853620620800. Its totient is φ = 88206803435520.

The previous prime is 354225111445417. The next prime is 354225111445481. The reversal of 354225111445440 is 44544111522453.

354225111445440 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 2 + 51 + 11 + 44 + 544 + 0 = 666.

It is a super-3 number, since 3×354225111445440³ (a number of 45 digits) contains 333 as substring.

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, 4321200294 + ... + 4321282266.

Almost surely, 2^{354225111445440} is an apocalyptic number.

354225111445440 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 354225111445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650926810310400).

354225111445440 is an abundant number, since it is smaller than the sum of its proper divisors (947628509175360).

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

354225111445440 is a wasteful number, since it uses less digits than its factorization.

354225111445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83725 (or 83712 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 354225111445440 its reverse (44544111522453), we get a palindrome (398769222967893).

The spelling of 354225111445440 in words is "three hundred fifty-four trillion, two hundred twenty-five billion, one hundred eleven million, four hundred forty-five thousand, four hundred forty".