354501160000 has 315 divisors, whose sum is σ = 956042961291. Its totient is φ = 130321152000.

The previous prime is 354501159973. The next prime is 354501160001. The reversal of 354501160000 is 61105453.

The square root of 354501160000 is 595400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 346148662336 + 8352497664 = 588344^2 + 91392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354501160001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1548039886 + ... + 1548040114.

Almost surely, 2^354501160000 is an apocalyptic number.

354501160000 is the 595400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354501160000

354501160000 is an abundant number, since it is smaller than the sum of its proper divisors (601541801291).

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

354501160000 is an frugal number, since it uses more digits than its factorization.

354501160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Multiplying 354501160000 by its sum of digits (25), we get a square (8862529000000 = 2977000²).

354501160000 divided by its sum of digits (25) gives a square (14180046400 = 119080²).

Adding to 354501160000 its reverse (61105453), we get a palindrome (354562265453).

The spelling of 354501160000 in words is "three hundred fifty-four billion, five hundred one million, one hundred sixty thousand".