354441161100 has 576 divisors, whose sum is σ = 1165089429504. Its totient is φ = 82616647680.

The previous prime is 354441161093. The next prime is 354441161119. The reversal of 354441161100 is 1161144453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1521206584 + ... + 1521206816.

It is an arithmetic number, because the mean of its divisors is an integer number (2022724704).

Almost surely, 2^354441161100 is an apocalyptic number.

354441161100 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 354441161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582544714752).

354441161100 is an abundant number, since it is smaller than the sum of its proper divisors (810648268404).

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

354441161100 is a wasteful number, since it uses less digits than its factorization.

354441161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 354441161100 in words is "three hundred fifty-four billion, four hundred forty-one million, one hundred sixty-one thousand, one hundred".