354533112000 has 1568 divisors, whose sum is σ = 1421922138624. Its totient is φ = 87340032000.

The previous prime is 354533111981. The next prime is 354533112007. The reversal of 354533112000 is 211335453.

354533112000 is a `hidden beast` number, since 3 + 5 + 4 + 533 + 1 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (354533112007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6689303974 + ... + 6689304026.

Almost surely, 2^354533112000 is an apocalyptic number.

354533112000 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 354533112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710961069312).

354533112000 is an abundant number, since it is smaller than the sum of its proper divisors (1067389026624).

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

354533112000 is an equidigital number, since it uses as much as digits as its factorization.

354533112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 354533112000 its reverse (211335453), we get a palindrome (354744447453).

The spelling of 354533112000 in words is "three hundred fifty-four billion, five hundred thirty-three million, one hundred twelve thousand".