354052534400000 has 132 divisors (see below), whose sum is σ = 884642530215276. Its totient is φ = 141621012480000.

The previous prime is 354052534399951. The next prime is 354052534400003. The reversal of 354052534400000 is 4435250453.

It can be written as a sum of positive squares in 6 ways, for example, as 327278781359104 + 26773753040896 = 18090848^2 + 5174336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354052534400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52120709 + ... + 58520708.

Almost surely, 2^{354052534400000} is an apocalyptic number.

It is an amenable number.

354052534400000 is an abundant number, since it is smaller than the sum of its proper divisors (530589995815276).

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

354052534400000 is an frugal number, since it uses more digits than its factorization.

354052534400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110641462 (or 110641424 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 354052534400000 its reverse (4435250453), we get a palindrome (354056969650453).

The spelling of 354052534400000 in words is "three hundred fifty-four trillion, fifty-two billion, five hundred thirty-four million, four hundred thousand".