354244014040144 has 40 divisors (see below), whose sum is σ = 726724365913728. Its totient is φ = 166702333662720.

The previous prime is 354244014040139. The next prime is 354244014040237. The reversal of 354244014040144 is 441040410442453.

It is a super-3 number, since 3×354244014040144³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354244014040097 and 354244014040106.

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 7 ways as a sum of consecutive naturals, for example, 61912329 + ... + 67391575.

Almost surely, 2^{354244014040144} is an apocalyptic number.

354244014040144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

354244014040144 is an abundant number, since it is smaller than the sum of its proper divisors (372480351873584).

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

354244014040144 is a wasteful number, since it uses less digits than its factorization.

354244014040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716963 (or 5716957 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 354244014040144 its reverse (441040410442453), we get a palindrome (795284424482597).

The spelling of 354244014040144 in words is "three hundred fifty-four trillion, two hundred forty-four billion, fourteen million, forty thousand, one hundred forty-four".