354148722144 has 576 divisors, whose sum is σ = 1220994238464. Its totient is φ = 95192875008.

The previous prime is 354148722049. The next prime is 354148722181. The reversal of 354148722144 is 441227841453.

354148722144 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 487 + 22 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354148722144.

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, 1346572957 + ... + 1346573219.

It is an arithmetic number, because the mean of its divisors is an integer number (2119781664).

Almost surely, 2^354148722144 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 354148722144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610497119232).

354148722144 is an abundant number, since it is smaller than the sum of its proper divisors (866845516320).

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

354148722144 is a wasteful number, since it uses less digits than its factorization.

354148722144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 354148722144 in words is "three hundred fifty-four billion, one hundred forty-eight million, seven hundred twenty-two thousand, one hundred forty-four".