354549744864 has 336 divisors, whose sum is σ = 1234658396160. Its totient is φ = 98030787840.

The previous prime is 354549744863. The next prime is 354549744881. The reversal of 354549744864 is 468447945453.

354549744864 is a `hidden beast` number, since 3 + 5 + 4 + 549 + 7 + 4 + 4 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354549744863) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5027157 + ... + 5097195.

It is an arithmetic number, because the mean of its divisors is an integer number (3674578560).

Almost surely, 2^354549744864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354549744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617329198080).

354549744864 is an abundant number, since it is smaller than the sum of its proper divisors (880108651296).

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

354549744864 is an equidigital number, since it uses as much as digits as its factorization.

354549744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70105 (or 70082 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 354549744864 in words is "three hundred fifty-four billion, five hundred forty-nine million, seven hundred forty-four thousand, eight hundred sixty-four".