354004560000 has 1280 divisors, whose sum is σ = 1607770348800. Its totient is φ = 74649600000.

The previous prime is 354004559969. The next prime is 354004560073. The reversal of 354004560000 is 65400453.

354004560000 is a `hidden beast` number, since 3 + 54 + 0 + 0 + 4 + 5 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 196559100 + ... + 196560900.

It is an arithmetic number, because the mean of its divisors is an integer number (1256070585).

Almost surely, 2^354004560000 is an apocalyptic number.

354004560000 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 354004560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803885174400).

354004560000 is an abundant number, since it is smaller than the sum of its proper divisors (1253765788800).

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

354004560000 is a wasteful number, since it uses less digits than its factorization.

354004560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 354004560000 its reverse (65400453), we get a palindrome (354069960453).

The spelling of 354004560000 in words is "three hundred fifty-four billion, four million, five hundred sixty thousand".