354144013344 has 72 divisors (see below), whose sum is σ = 1098651323952. Its totient is φ = 107316366720.

The previous prime is 354144013339. The next prime is 354144013403. The reversal of 354144013344 is 443310441453.

354144013344 is a `hidden beast` number, since 3 + 5 + 41 + 440 + 133 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354144013299 and 354144013308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55890774 + ... + 55897109.

It is an arithmetic number, because the mean of its divisors is an integer number (15259046166).

Almost surely, 2^354144013344 is an apocalyptic number.

It is an amenable number.

354144013344 is an abundant number, since it is smaller than the sum of its proper divisors (744507310608).

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

354144013344 is a wasteful number, since it uses less digits than its factorization.

354144013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111787910 (or 111787899 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 354144013344 its reverse (443310441453), we get a palindrome (797454454797).

The spelling of 354144013344 in words is "three hundred fifty-four billion, one hundred forty-four million, thirteen thousand, three hundred forty-four".