354071223072 has 162 divisors, whose sum is σ = 1171514133153. Its totient is φ = 101143010304.

The previous prime is 354071223059. The next prime is 354071223083. The reversal of 354071223072 is 270322170453.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

354071223072 is a `hidden beast` number, since 3 + 5 + 407 + 12 + 230 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353791798416 + 279424656 = 594804^2 + 16716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=420756.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70684504 + ... + 70689512.

Almost surely, 2^354071223072 is an apocalyptic number.

354071223072 is a gapful number since it is divisible by the number (32) 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 354071223072

354071223072 is an abundant number, since it is smaller than the sum of its proper divisors (817442910081).

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

354071223072 is an frugal number, since it uses more digits than its factorization.

354071223072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 354071223072 in words is "three hundred fifty-four billion, seventy-one million, two hundred twenty-three thousand, seventy-two".